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Finding the Fourth Proportional to 137,216.60, 205,840.90 and 43,731.80

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Solution

The fourth proportional to 137,216.60, 205,840.90 and 43,731.80 is: 65,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,216.60 : 205,840.90 = 43,731.80 : x
  2. Step 2: Convert to fraction form
    137,216.60/205,840.90 = 43,731.80/x
  3. Step 3: Cross multiply
    137,216.60x = 205,840.90 × 43,731.80
  4. Step 4: Simplify right side
    137,216.60x = 9,001,793,070.62
  5. Step 5: Solve for x
    x = 9,001,793,070.62/137,216.60
  6. Step 6: Final answer
    x = 65,602.80

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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.