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Finding the Fourth Proportional to 243,131.60, 364,660.92 and 76,898

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Solution

The fourth proportional to 243,131.60, 364,660.92 and 76,898 is: 115,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,131.60 : 364,660.92 = 76,898 : x
  2. Step 2: Convert to fraction form
    243,131.60/364,660.92 = 76,898/x
  3. Step 3: Cross multiply
    243,131.60x = 364,660.92 × 76,898
  4. Step 4: Simplify right side
    243,131.60x = 28,041,695,426.16
  5. Step 5: Solve for x
    x = 28,041,695,426.16/243,131.60
  6. Step 6: Final answer
    x = 115,335.46

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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.