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Finding the Fourth Proportional to 242,543.20, 363,728.40 and 84,776.80

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Solution

The fourth proportional to 242,543.20, 363,728.40 and 84,776.80 is: 127,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,543.20 : 363,728.40 = 84,776.80 : x
  2. Step 2: Convert to fraction form
    242,543.20/363,728.40 = 84,776.80/x
  3. Step 3: Cross multiply
    242,543.20x = 363,728.40 × 84,776.80
  4. Step 4: Simplify right side
    242,543.20x = 30,835,729,821.12
  5. Step 5: Solve for x
    x = 30,835,729,821.12/242,543.20
  6. Step 6: Final answer
    x = 127,135.00

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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.