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Finding the Fourth Proportional to 157,998.57, 236,949.65 and 83,078.07

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Solution

The fourth proportional to 157,998.57, 236,949.65 and 83,078.07 is: 124,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,998.57 : 236,949.65 = 83,078.07 : x
  2. Step 2: Convert to fraction form
    157,998.57/236,949.65 = 83,078.07/x
  3. Step 3: Cross multiply
    157,998.57x = 236,949.65 × 83,078.07
  4. Step 4: Simplify right side
    157,998.57x = 19,685,319,609.18
  5. Step 5: Solve for x
    x = 19,685,319,609.18/157,998.57
  6. Step 6: Final answer
    x = 124,591.76

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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.