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Finding the Fourth Proportional to 74,464.71, 102,761.90 and 40,473.20

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Solution

The fourth proportional to 74,464.71, 102,761.90 and 40,473.20 is: 55,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,464.71 : 102,761.90 = 40,473.20 : x
  2. Step 2: Convert to fraction form
    74,464.71/102,761.90 = 40,473.20/x
  3. Step 3: Cross multiply
    74,464.71x = 102,761.90 × 40,473.20
  4. Step 4: Simplify right side
    74,464.71x = 4,159,102,931.08
  5. Step 5: Solve for x
    x = 4,159,102,931.08/74,464.71
  6. Step 6: Final answer
    x = 55,853.34

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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.