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Finding the Fourth Proportional to 137,459.38, 206,221.36 and 42,684.68

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Solution

The fourth proportional to 137,459.38, 206,221.36 and 42,684.68 is: 64,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,459.38 : 206,221.36 = 42,684.68 : x
  2. Step 2: Convert to fraction form
    137,459.38/206,221.36 = 42,684.68/x
  3. Step 3: Cross multiply
    137,459.38x = 206,221.36 × 42,684.68
  4. Step 4: Simplify right side
    137,459.38x = 8,802,492,760.76
  5. Step 5: Solve for x
    x = 8,802,492,760.76/137,459.38
  6. Step 6: Final answer
    x = 64,037.05

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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.