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Finding the Fourth Proportional to 117,318.32, 161,856.84 and 77,053.90

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Solution

The fourth proportional to 117,318.32, 161,856.84 and 77,053.90 is: 106,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,318.32 : 161,856.84 = 77,053.90 : x
  2. Step 2: Convert to fraction form
    117,318.32/161,856.84 = 77,053.90/x
  3. Step 3: Cross multiply
    117,318.32x = 161,856.84 × 77,053.90
  4. Step 4: Simplify right side
    117,318.32x = 12,471,700,763.68
  5. Step 5: Solve for x
    x = 12,471,700,763.68/117,318.32
  6. Step 6: Final answer
    x = 106,306.51

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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.