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Finding the Fourth Proportional to 200,999.80, 301,499.70 and 106,521.40

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Solution

The fourth proportional to 200,999.80, 301,499.70 and 106,521.40 is: 159,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.80 : 301,499.70 = 106,521.40 : x
  2. Step 2: Convert to fraction form
    200,999.80/301,499.70 = 106,521.40/x
  3. Step 3: Cross multiply
    200,999.80x = 301,499.70 × 106,521.40
  4. Step 4: Simplify right side
    200,999.80x = 32,116,170,143.58
  5. Step 5: Solve for x
    x = 32,116,170,143.58/200,999.80
  6. Step 6: Final answer
    x = 159,782.10

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1.5x scale

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.