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Finding the Fourth Proportional to 117,318.31, 161,856.84 and 77,053.89

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Solution

The fourth proportional to 117,318.31, 161,856.84 and 77,053.89 is: 106,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,318.31 : 161,856.84 = 77,053.89 : x
  2. Step 2: Convert to fraction form
    117,318.31/161,856.84 = 77,053.89/x
  3. Step 3: Cross multiply
    117,318.31x = 161,856.84 × 77,053.89
  4. Step 4: Simplify right side
    117,318.31x = 12,471,699,145.11
  5. Step 5: Solve for x
    x = 12,471,699,145.11/117,318.31
  6. Step 6: Final answer
    x = 106,306.50

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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.