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Finding the Fourth Proportional to 101,528, 140,089.20 and 65,713.04

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Solution

The fourth proportional to 101,528, 140,089.20 and 65,713.04 is: 90,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,528 : 140,089.20 = 65,713.04 : x
  2. Step 2: Convert to fraction form
    101,528/140,089.20 = 65,713.04/x
  3. Step 3: Cross multiply
    101,528x = 140,089.20 × 65,713.04
  4. Step 4: Simplify right side
    101,528x = 9,205,687,203.17
  5. Step 5: Solve for x
    x = 9,205,687,203.17/101,528
  6. Step 6: Final answer
    x = 90,671.41

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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.