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Finding the Fourth Proportional to 74,031.30, 102,098.61 and 52,478.42

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Solution

The fourth proportional to 74,031.30, 102,098.61 and 52,478.42 is: 72,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,031.30 : 102,098.61 = 52,478.42 : x
  2. Step 2: Convert to fraction form
    74,031.30/102,098.61 = 52,478.42/x
  3. Step 3: Cross multiply
    74,031.30x = 102,098.61 × 52,478.42
  4. Step 4: Simplify right side
    74,031.30x = 5,357,973,226.50
  5. Step 5: Solve for x
    x = 5,357,973,226.50/74,031.30
  6. Step 6: Final answer
    x = 72,374.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.