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Finding the Fourth Proportional to 74,454.67, 102,747.30 and 42,189.22

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Solution

The fourth proportional to 74,454.67, 102,747.30 and 42,189.22 is: 58,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,454.67 : 102,747.30 = 42,189.22 : x
  2. Step 2: Convert to fraction form
    74,454.67/102,747.30 = 42,189.22/x
  3. Step 3: Cross multiply
    74,454.67x = 102,747.30 × 42,189.22
  4. Step 4: Simplify right side
    74,454.67x = 4,334,828,444.11
  5. Step 5: Solve for x
    x = 4,334,828,444.11/74,454.67
  6. Step 6: Final answer
    x = 58,221.04

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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.