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Finding the Fourth Proportional to 102,915.76, 142,026.32 and 57,593.40

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Solution

The fourth proportional to 102,915.76, 142,026.32 and 57,593.40 is: 79,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,915.76 : 142,026.32 = 57,593.40 : x
  2. Step 2: Convert to fraction form
    102,915.76/142,026.32 = 57,593.40/x
  3. Step 3: Cross multiply
    102,915.76x = 142,026.32 × 57,593.40
  4. Step 4: Simplify right side
    102,915.76x = 8,179,778,658.29
  5. Step 5: Solve for x
    x = 8,179,778,658.29/102,915.76
  6. Step 6: Final answer
    x = 79,480.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.