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Finding the Fourth Proportional to 98,451.60, 147,713.85 and 31,893.90

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Solution

The fourth proportional to 98,451.60, 147,713.85 and 31,893.90 is: 47,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,451.60 : 147,713.85 = 31,893.90 : x
  2. Step 2: Convert to fraction form
    98,451.60/147,713.85 = 31,893.90/x
  3. Step 3: Cross multiply
    98,451.60x = 147,713.85 × 31,893.90
  4. Step 4: Simplify right side
    98,451.60x = 4,711,170,760.52
  5. Step 5: Solve for x
    x = 4,711,170,760.52/98,451.60
  6. Step 6: Final answer
    x = 47,852.66

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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.