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Finding the Fourth Proportional to 157,894.69, 217,894.46 and 89,911.68

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Solution

The fourth proportional to 157,894.69, 217,894.46 and 89,911.68 is: 124,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,894.69 : 217,894.46 = 89,911.68 : x
  2. Step 2: Convert to fraction form
    157,894.69/217,894.46 = 89,911.68/x
  3. Step 3: Cross multiply
    157,894.69x = 217,894.46 × 89,911.68
  4. Step 4: Simplify right side
    157,894.69x = 19,591,257,571.42
  5. Step 5: Solve for x
    x = 19,591,257,571.42/157,894.69
  6. Step 6: Final answer
    x = 124,078.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.