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Finding the Fourth Proportional to 102,187.88, 140,939.39 and 66,389.42

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Solution

The fourth proportional to 102,187.88, 140,939.39 and 66,389.42 is: 91,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,187.88 : 140,939.39 = 66,389.42 : x
  2. Step 2: Convert to fraction form
    102,187.88/140,939.39 = 66,389.42/x
  3. Step 3: Cross multiply
    102,187.88x = 140,939.39 × 66,389.42
  4. Step 4: Simplify right side
    102,187.88x = 9,356,884,875.58
  5. Step 5: Solve for x
    x = 9,356,884,875.58/102,187.88
  6. Step 6: Final answer
    x = 91,565.51

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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.