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Finding the Fourth Proportional to 137,031.60, 205,326.60 and 77,690.80

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Solution

The fourth proportional to 137,031.60, 205,326.60 and 77,690.80 is: 116,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,031.60 : 205,326.60 = 77,690.80 : x
  2. Step 2: Convert to fraction form
    137,031.60/205,326.60 = 77,690.80/x
  3. Step 3: Cross multiply
    137,031.60x = 205,326.60 × 77,690.80
  4. Step 4: Simplify right side
    137,031.60x = 15,951,987,815.28
  5. Step 5: Solve for x
    x = 15,951,987,815.28/137,031.60
  6. Step 6: Final answer
    x = 116,411.02

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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.