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Finding the Fourth Proportional to 243,431.52, 365,166.54 and 85,695.36

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Solution

The fourth proportional to 243,431.52, 365,166.54 and 85,695.36 is: 128,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,431.52 : 365,166.54 = 85,695.36 : x
  2. Step 2: Convert to fraction form
    243,431.52/365,166.54 = 85,695.36/x
  3. Step 3: Cross multiply
    243,431.52x = 365,166.54 × 85,695.36
  4. Step 4: Simplify right side
    243,431.52x = 31,293,078,105.25
  5. Step 5: Solve for x
    x = 31,293,078,105.25/243,431.52
  6. Step 6: Final answer
    x = 128,549.82

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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.