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Finding the Fourth Proportional to 101,431.12, 139,964.14 and 56,101.88

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Solution

The fourth proportional to 101,431.12, 139,964.14 and 56,101.88 is: 77,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,431.12 : 139,964.14 = 56,101.88 : x
  2. Step 2: Convert to fraction form
    101,431.12/139,964.14 = 56,101.88/x
  3. Step 3: Cross multiply
    101,431.12x = 139,964.14 × 56,101.88
  4. Step 4: Simplify right side
    101,431.12x = 7,852,251,386.58
  5. Step 5: Solve for x
    x = 7,852,251,386.58/101,431.12
  6. Step 6: Final answer
    x = 77,414.62

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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.