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Finding the Fourth Proportional to 157,152.76, 216,876.36 and 89,170

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Solution

The fourth proportional to 157,152.76, 216,876.36 and 89,170 is: 123,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,152.76 : 216,876.36 = 89,170 : x
  2. Step 2: Convert to fraction form
    157,152.76/216,876.36 = 89,170/x
  3. Step 3: Cross multiply
    157,152.76x = 216,876.36 × 89,170
  4. Step 4: Simplify right side
    157,152.76x = 19,338,865,021.20
  5. Step 5: Solve for x
    x = 19,338,865,021.20/157,152.76
  6. Step 6: Final answer
    x = 123,057.75

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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.