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Finding the Fourth Proportional to 74,442.68, 102,722.28 and 42,609.68

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Solution

The fourth proportional to 74,442.68, 102,722.28 and 42,609.68 is: 58,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,442.68 : 102,722.28 = 42,609.68 : x
  2. Step 2: Convert to fraction form
    74,442.68/102,722.28 = 42,609.68/x
  3. Step 3: Cross multiply
    74,442.68x = 102,722.28 × 42,609.68
  4. Step 4: Simplify right side
    74,442.68x = 4,376,963,479.67
  5. Step 5: Solve for x
    x = 4,376,963,479.67/74,442.68
  6. Step 6: Final answer
    x = 58,796.43

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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.