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Finding the Fourth Proportional to 81,154.34, 112,024.20 and 72,641.42

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Solution

The fourth proportional to 81,154.34, 112,024.20 and 72,641.42 is: 100,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,154.34 : 112,024.20 = 72,641.42 : x
  2. Step 2: Convert to fraction form
    81,154.34/112,024.20 = 72,641.42/x
  3. Step 3: Cross multiply
    81,154.34x = 112,024.20 × 72,641.42
  4. Step 4: Simplify right side
    81,154.34x = 8,137,596,962.36
  5. Step 5: Solve for x
    x = 8,137,596,962.36/81,154.34
  6. Step 6: Final answer
    x = 100,273.10

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1.5x scale

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.