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Finding the Fourth Proportional to 71,428.08, 107,055.72 and 51,569.04

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Solution

The fourth proportional to 71,428.08, 107,055.72 and 51,569.04 is: 77,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428.08 : 107,055.72 = 51,569.04 : x
  2. Step 2: Convert to fraction form
    71,428.08/107,055.72 = 51,569.04/x
  3. Step 3: Cross multiply
    71,428.08x = 107,055.72 × 51,569.04
  4. Step 4: Simplify right side
    71,428.08x = 5,520,760,706.91
  5. Step 5: Solve for x
    x = 5,520,760,706.91/71,428.08
  6. Step 6: Final answer
    x = 77,291.18

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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.