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Finding the Fourth Proportional to 98,432.70, 147,758.40 and 54,145.95

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Solution

The fourth proportional to 98,432.70, 147,758.40 and 54,145.95 is: 81,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,432.70 : 147,758.40 = 54,145.95 : x
  2. Step 2: Convert to fraction form
    98,432.70/147,758.40 = 54,145.95/x
  3. Step 3: Cross multiply
    98,432.70x = 147,758.40 × 54,145.95
  4. Step 4: Simplify right side
    98,432.70x = 8,000,518,938.48
  5. Step 5: Solve for x
    x = 8,000,518,938.48/98,432.70
  6. Step 6: Final answer
    x = 81,279.08

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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.