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Finding the Fourth Proportional to 137,424.61, 206,005.69 and 43,869.61

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Solution

The fourth proportional to 137,424.61, 206,005.69 and 43,869.61 is: 65,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,424.61 : 206,005.69 = 43,869.61 : x
  2. Step 2: Convert to fraction form
    137,424.61/206,005.69 = 43,869.61/x
  3. Step 3: Cross multiply
    137,424.61x = 206,005.69 × 43,869.61
  4. Step 4: Simplify right side
    137,424.61x = 9,037,389,278.08
  5. Step 5: Solve for x
    x = 9,037,389,278.08/137,424.61
  6. Step 6: Final answer
    x = 65,762.52

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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.