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Finding the Fourth Proportional to 92,686.80, 138,978.32 and 30,352.08

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Solution

The fourth proportional to 92,686.80, 138,978.32 and 30,352.08 is: 45,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,686.80 : 138,978.32 = 30,352.08 : x
  2. Step 2: Convert to fraction form
    92,686.80/138,978.32 = 30,352.08/x
  3. Step 3: Cross multiply
    92,686.80x = 138,978.32 × 30,352.08
  4. Step 4: Simplify right side
    92,686.80x = 4,218,281,086.91
  5. Step 5: Solve for x
    x = 4,218,281,086.91/92,686.80
  6. Step 6: Final answer
    x = 45,511.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.