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Finding the Fourth Proportional to 242,352, 363,561.12 and 84,557.28

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Solution

The fourth proportional to 242,352, 363,561.12 and 84,557.28 is: 126,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,352 : 363,561.12 = 84,557.28 : x
  2. Step 2: Convert to fraction form
    242,352/363,561.12 = 84,557.28/x
  3. Step 3: Cross multiply
    242,352x = 363,561.12 × 84,557.28
  4. Step 4: Simplify right side
    242,352x = 30,741,739,420.95
  5. Step 5: Solve for x
    x = 30,741,739,420.95/242,352
  6. Step 6: Final answer
    x = 126,847.48

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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.