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Finding the Fourth Proportional to 201,275,310.30, 301,912,965.45 and 86,271,477.90

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Solution

The fourth proportional to 201,275,310.30, 301,912,965.45 and 86,271,477.90 is: 129,407,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,275,310.30 : 301,912,965.45 = 86,271,477.90 : x
  2. Step 2: Convert to fraction form
    201,275,310.30/301,912,965.45 = 86,271,477.90/x
  3. Step 3: Cross multiply
    201,275,310.30x = 301,912,965.45 × 86,271,477.90
  4. Step 4: Simplify right side
    201,275,310.30x = 26,046,477,726,543,140
  5. Step 5: Solve for x
    x = 26,046,477,726,543,140/201,275,310.30
  6. Step 6: Final answer
    x = 129,407,216.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.