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Finding the Fourth Proportional to 137,685.60, 206,533.49 and 37,853.60

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Solution

The fourth proportional to 137,685.60, 206,533.49 and 37,853.60 is: 56,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,685.60 : 206,533.49 = 37,853.60 : x
  2. Step 2: Convert to fraction form
    137,685.60/206,533.49 = 37,853.60/x
  3. Step 3: Cross multiply
    137,685.60x = 206,533.49 × 37,853.60
  4. Step 4: Simplify right side
    137,685.60x = 7,818,034,895.13
  5. Step 5: Solve for x
    x = 7,818,034,895.13/137,685.60
  6. Step 6: Final answer
    x = 56,781.79

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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.