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Finding the Fourth Proportional to 137,308.76, 206,308.20 and 87,411.14

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Solution

The fourth proportional to 137,308.76, 206,308.20 and 87,411.14 is: 131,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,308.76 : 206,308.20 = 87,411.14 : x
  2. Step 2: Convert to fraction form
    137,308.76/206,308.20 = 87,411.14/x
  3. Step 3: Cross multiply
    137,308.76x = 206,308.20 × 87,411.14
  4. Step 4: Simplify right side
    137,308.76x = 18,033,634,953.35
  5. Step 5: Solve for x
    x = 18,033,634,953.35/137,308.76
  6. Step 6: Final answer
    x = 131,336.38

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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.