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Finding the Fourth Proportional to 101,426.26, 139,921.10 and 65,627.80

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Solution

The fourth proportional to 101,426.26, 139,921.10 and 65,627.80 is: 90,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,426.26 : 139,921.10 = 65,627.80 : x
  2. Step 2: Convert to fraction form
    101,426.26/139,921.10 = 65,627.80/x
  3. Step 3: Cross multiply
    101,426.26x = 139,921.10 × 65,627.80
  4. Step 4: Simplify right side
    101,426.26x = 9,182,713,966.58
  5. Step 5: Solve for x
    x = 9,182,713,966.58/101,426.26
  6. Step 6: Final answer
    x = 90,535.86

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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.