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Finding the Fourth Proportional to 140,095.52, 209,968.16 and 90,042.40

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Solution

The fourth proportional to 140,095.52, 209,968.16 and 90,042.40 is: 134,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,095.52 : 209,968.16 = 90,042.40 : x
  2. Step 2: Convert to fraction form
    140,095.52/209,968.16 = 90,042.40/x
  3. Step 3: Cross multiply
    140,095.52x = 209,968.16 × 90,042.40
  4. Step 4: Simplify right side
    140,095.52x = 18,906,037,049.98
  5. Step 5: Solve for x
    x = 18,906,037,049.98/140,095.52
  6. Step 6: Final answer
    x = 134,951.05

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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.