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Finding the Fourth Proportional to 101,523, 140,165.28 and 65,239.16

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Solution

The fourth proportional to 101,523, 140,165.28 and 65,239.16 is: 90,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523 : 140,165.28 = 65,239.16 : x
  2. Step 2: Convert to fraction form
    101,523/140,165.28 = 65,239.16/x
  3. Step 3: Cross multiply
    101,523x = 140,165.28 × 65,239.16
  4. Step 4: Simplify right side
    101,523x = 9,144,265,128.36
  5. Step 5: Solve for x
    x = 9,144,265,128.36/101,523
  6. Step 6: Final answer
    x = 90,070.87

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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.