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Finding the Fourth Proportional to 92,319, 138,491.90 and 29,117.76

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Solution

The fourth proportional to 92,319, 138,491.90 and 29,117.76 is: 43,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,319 : 138,491.90 = 29,117.76 : x
  2. Step 2: Convert to fraction form
    92,319/138,491.90 = 29,117.76/x
  3. Step 3: Cross multiply
    92,319x = 138,491.90 × 29,117.76
  4. Step 4: Simplify right side
    92,319x = 4,032,573,906.14
  5. Step 5: Solve for x
    x = 4,032,573,906.14/92,319
  6. Step 6: Final answer
    x = 43,680.87

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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.