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Finding the Fourth Proportional to 100,226.93, 138,307.20 and 54,895.88

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Solution

The fourth proportional to 100,226.93, 138,307.20 and 54,895.88 is: 75,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226.93 : 138,307.20 = 54,895.88 : x
  2. Step 2: Convert to fraction form
    100,226.93/138,307.20 = 54,895.88/x
  3. Step 3: Cross multiply
    100,226.93x = 138,307.20 × 54,895.88
  4. Step 4: Simplify right side
    100,226.93x = 7,592,494,762.80
  5. Step 5: Solve for x
    x = 7,592,494,762.80/100,226.93
  6. Step 6: Final answer
    x = 75,753.05

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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.