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Finding the Fourth Proportional to 132,281.86, 182,520.57 and 78,584.98

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Solution

The fourth proportional to 132,281.86, 182,520.57 and 78,584.98 is: 108,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,281.86 : 182,520.57 = 78,584.98 : x
  2. Step 2: Convert to fraction form
    132,281.86/182,520.57 = 78,584.98/x
  3. Step 3: Cross multiply
    132,281.86x = 182,520.57 × 78,584.98
  4. Step 4: Simplify right side
    132,281.86x = 14,343,375,343.04
  5. Step 5: Solve for x
    x = 14,343,375,343.04/132,281.86
  6. Step 6: Final answer
    x = 108,430.40

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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.