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Finding the Fourth Proportional to 132,389.94, 182,677.77 and 78,655.08

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Solution

The fourth proportional to 132,389.94, 182,677.77 and 78,655.08 is: 108,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,389.94 : 182,677.77 = 78,655.08 : x
  2. Step 2: Convert to fraction form
    132,389.94/182,677.77 = 78,655.08/x
  3. Step 3: Cross multiply
    132,389.94x = 182,677.77 × 78,655.08
  4. Step 4: Simplify right side
    132,389.94x = 14,368,534,613.57
  5. Step 5: Solve for x
    x = 14,368,534,613.57/132,389.94
  6. Step 6: Final answer
    x = 108,531.92

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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.