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Finding the Fourth Proportional to 242,581.92, 363,708.16 and 84,724

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Solution

The fourth proportional to 242,581.92, 363,708.16 and 84,724 is: 127,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,581.92 : 363,708.16 = 84,724 : x
  2. Step 2: Convert to fraction form
    242,581.92/363,708.16 = 84,724/x
  3. Step 3: Cross multiply
    242,581.92x = 363,708.16 × 84,724
  4. Step 4: Simplify right side
    242,581.92x = 30,814,810,147.84
  5. Step 5: Solve for x
    x = 30,814,810,147.84/242,581.92
  6. Step 6: Final answer
    x = 127,028.47

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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.