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Finding the Fourth Proportional to 132,559.70, 182,871.95 and 78,814.17

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Solution

The fourth proportional to 132,559.70, 182,871.95 and 78,814.17 is: 108,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,559.70 : 182,871.95 = 78,814.17 : x
  2. Step 2: Convert to fraction form
    132,559.70/182,871.95 = 78,814.17/x
  3. Step 3: Cross multiply
    132,559.70x = 182,871.95 × 78,814.17
  4. Step 4: Simplify right side
    132,559.70x = 14,412,900,561.46
  5. Step 5: Solve for x
    x = 14,412,900,561.46/132,559.70
  6. Step 6: Final answer
    x = 108,727.62

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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.