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Finding the Fourth Proportional to 201,642.70, 302,464.05 and 83,398.90

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Solution

The fourth proportional to 201,642.70, 302,464.05 and 83,398.90 is: 125,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.70 : 302,464.05 = 83,398.90 : x
  2. Step 2: Convert to fraction form
    201,642.70/302,464.05 = 83,398.90/x
  3. Step 3: Cross multiply
    201,642.70x = 302,464.05 × 83,398.90
  4. Step 4: Simplify right side
    201,642.70x = 25,225,169,059.55
  5. Step 5: Solve for x
    x = 25,225,169,059.55/201,642.70
  6. Step 6: Final answer
    x = 125,098.35

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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.