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Finding the Fourth Proportional to 148,599, 205,070.40 and 81,531

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Solution

The fourth proportional to 148,599, 205,070.40 and 81,531 is: 112,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,599 : 205,070.40 = 81,531 : x
  2. Step 2: Convert to fraction form
    148,599/205,070.40 = 81,531/x
  3. Step 3: Cross multiply
    148,599x = 205,070.40 × 81,531
  4. Step 4: Simplify right side
    148,599x = 16,719,594,782.40
  5. Step 5: Solve for x
    x = 16,719,594,782.40/148,599
  6. Step 6: Final answer
    x = 112,514.85

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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.