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Finding the Fourth Proportional to 84,461.68, 126,710.56 and 31,153.84

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Solution

The fourth proportional to 84,461.68, 126,710.56 and 31,153.84 is: 46,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,461.68 : 126,710.56 = 31,153.84 : x
  2. Step 2: Convert to fraction form
    84,461.68/126,710.56 = 31,153.84/x
  3. Step 3: Cross multiply
    84,461.68x = 126,710.56 × 31,153.84
  4. Step 4: Simplify right side
    84,461.68x = 3,947,520,512.55
  5. Step 5: Solve for x
    x = 3,947,520,512.55/84,461.68
  6. Step 6: Final answer
    x = 46,737.41

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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.