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Finding the Fourth Proportional to 253,681.28, 380,565.62 and 85,217.80

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Solution

The fourth proportional to 253,681.28, 380,565.62 and 85,217.80 is: 127,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,681.28 : 380,565.62 = 85,217.80 : x
  2. Step 2: Convert to fraction form
    253,681.28/380,565.62 = 85,217.80/x
  3. Step 3: Cross multiply
    253,681.28x = 380,565.62 × 85,217.80
  4. Step 4: Simplify right side
    253,681.28x = 32,430,964,892.04
  5. Step 5: Solve for x
    x = 32,430,964,892.04/253,681.28
  6. Step 6: Final answer
    x = 127,841.38

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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.