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Finding the Fourth Proportional to 135,124.32, 186,488.66 and 78,524.76

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Solution

The fourth proportional to 135,124.32, 186,488.66 and 78,524.76 is: 108,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,124.32 : 186,488.66 = 78,524.76 : x
  2. Step 2: Convert to fraction form
    135,124.32/186,488.66 = 78,524.76/x
  3. Step 3: Cross multiply
    135,124.32x = 186,488.66 × 78,524.76
  4. Step 4: Simplify right side
    135,124.32x = 14,643,977,269.22
  5. Step 5: Solve for x
    x = 14,643,977,269.22/135,124.32
  6. Step 6: Final answer
    x = 108,374.11

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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.