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Finding the Fourth Proportional to 101,915.16, 140,645.28 and 56,592

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Solution

The fourth proportional to 101,915.16, 140,645.28 and 56,592 is: 78,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,915.16 : 140,645.28 = 56,592 : x
  2. Step 2: Convert to fraction form
    101,915.16/140,645.28 = 56,592/x
  3. Step 3: Cross multiply
    101,915.16x = 140,645.28 × 56,592
  4. Step 4: Simplify right side
    101,915.16x = 7,959,397,685.76
  5. Step 5: Solve for x
    x = 7,959,397,685.76/101,915.16
  6. Step 6: Final answer
    x = 78,098.27

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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.