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Finding the Fourth Proportional to 137,498.20, 205,901.70 and 109,850.20

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Solution

The fourth proportional to 137,498.20, 205,901.70 and 109,850.20 is: 164,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,498.20 : 205,901.70 = 109,850.20 : x
  2. Step 2: Convert to fraction form
    137,498.20/205,901.70 = 109,850.20/x
  3. Step 3: Cross multiply
    137,498.20x = 205,901.70 × 109,850.20
  4. Step 4: Simplify right side
    137,498.20x = 22,618,342,925.34
  5. Step 5: Solve for x
    x = 22,618,342,925.34/137,498.20
  6. Step 6: Final answer
    x = 164,499.19

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1.5x scale

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.