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Finding the Fourth Proportional to 84,154.80, 126,280.80 and 31,569.60

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Solution

The fourth proportional to 84,154.80, 126,280.80 and 31,569.60 is: 47,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,154.80 : 126,280.80 = 31,569.60 : x
  2. Step 2: Convert to fraction form
    84,154.80/126,280.80 = 31,569.60/x
  3. Step 3: Cross multiply
    84,154.80x = 126,280.80 × 31,569.60
  4. Step 4: Simplify right side
    84,154.80x = 3,986,634,343.68
  5. Step 5: Solve for x
    x = 3,986,634,343.68/84,154.80
  6. Step 6: Final answer
    x = 47,372.63

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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.