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Finding the Fourth Proportional to 243,233.52, 364,869.74 and 85,497.36

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Solution

The fourth proportional to 243,233.52, 364,869.74 and 85,497.36 is: 128,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,233.52 : 364,869.74 = 85,497.36 : x
  2. Step 2: Convert to fraction form
    243,233.52/364,869.74 = 85,497.36/x
  3. Step 3: Cross multiply
    243,233.52x = 364,869.74 × 85,497.36
  4. Step 4: Simplify right side
    243,233.52x = 31,195,399,513.89
  5. Step 5: Solve for x
    x = 31,195,399,513.89/243,233.52
  6. Step 6: Final answer
    x = 128,252.88

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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.