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Finding the Fourth Proportional to 150,472.52, 207,718.22 and 105,327.80

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Solution

The fourth proportional to 150,472.52, 207,718.22 and 105,327.80 is: 145,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,472.52 : 207,718.22 = 105,327.80 : x
  2. Step 2: Convert to fraction form
    150,472.52/207,718.22 = 105,327.80/x
  3. Step 3: Cross multiply
    150,472.52x = 207,718.22 × 105,327.80
  4. Step 4: Simplify right side
    150,472.52x = 21,878,503,132.52
  5. Step 5: Solve for x
    x = 21,878,503,132.52/150,472.52
  6. Step 6: Final answer
    x = 145,398.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.