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Finding the Fourth Proportional to 242,543.44, 363,981.60 and 84,772

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Solution

The fourth proportional to 242,543.44, 363,981.60 and 84,772 is: 127,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,543.44 : 363,981.60 = 84,772 : x
  2. Step 2: Convert to fraction form
    242,543.44/363,981.60 = 84,772/x
  3. Step 3: Cross multiply
    242,543.44x = 363,981.60 × 84,772
  4. Step 4: Simplify right side
    242,543.44x = 30,855,448,195.20
  5. Step 5: Solve for x
    x = 30,855,448,195.20/242,543.44
  6. Step 6: Final answer
    x = 127,216.17

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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.