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Finding the Fourth Proportional to 137,191.68, 205,810.56 and 47,230.80

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Solution

The fourth proportional to 137,191.68, 205,810.56 and 47,230.80 is: 70,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,191.68 : 205,810.56 = 47,230.80 : x
  2. Step 2: Convert to fraction form
    137,191.68/205,810.56 = 47,230.80/x
  3. Step 3: Cross multiply
    137,191.68x = 205,810.56 × 47,230.80
  4. Step 4: Simplify right side
    137,191.68x = 9,720,597,397.25
  5. Step 5: Solve for x
    x = 9,720,597,397.25/137,191.68
  6. Step 6: Final answer
    x = 70,854.13

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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.