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Finding the Fourth Proportional to 101,398.24, 139,930.50 and 56,073.88

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Solution

The fourth proportional to 101,398.24, 139,930.50 and 56,073.88 is: 77,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398.24 : 139,930.50 = 56,073.88 : x
  2. Step 2: Convert to fraction form
    101,398.24/139,930.50 = 56,073.88/x
  3. Step 3: Cross multiply
    101,398.24x = 139,930.50 × 56,073.88
  4. Step 4: Simplify right side
    101,398.24x = 7,846,446,065.34
  5. Step 5: Solve for x
    x = 7,846,446,065.34/101,398.24
  6. Step 6: Final answer
    x = 77,382.47

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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.