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Finding the Fourth Proportional to 71,901.10, 107,851.65 and 54,405.10

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Solution

The fourth proportional to 71,901.10, 107,851.65 and 54,405.10 is: 81,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,901.10 : 107,851.65 = 54,405.10 : x
  2. Step 2: Convert to fraction form
    71,901.10/107,851.65 = 54,405.10/x
  3. Step 3: Cross multiply
    71,901.10x = 107,851.65 × 54,405.10
  4. Step 4: Simplify right side
    71,901.10x = 5,867,679,803.42
  5. Step 5: Solve for x
    x = 5,867,679,803.42/71,901.10
  6. Step 6: Final answer
    x = 81,607.65

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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.