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Finding the Fourth Proportional to 148,963.86, 205,614.45 and 85,344.03

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Solution

The fourth proportional to 148,963.86, 205,614.45 and 85,344.03 is: 117,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,963.86 : 205,614.45 = 85,344.03 : x
  2. Step 2: Convert to fraction form
    148,963.86/205,614.45 = 85,344.03/x
  3. Step 3: Cross multiply
    148,963.86x = 205,614.45 × 85,344.03
  4. Step 4: Simplify right side
    148,963.86x = 17,547,965,789.23
  5. Step 5: Solve for x
    x = 17,547,965,789.23/148,963.86
  6. Step 6: Final answer
    x = 117,800.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.