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Finding the Fourth Proportional to 157,151.76, 216,874.98 and 89,169

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Solution

The fourth proportional to 157,151.76, 216,874.98 and 89,169 is: 123,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,151.76 : 216,874.98 = 89,169 : x
  2. Step 2: Convert to fraction form
    157,151.76/216,874.98 = 89,169/x
  3. Step 3: Cross multiply
    157,151.76x = 216,874.98 × 89,169
  4. Step 4: Simplify right side
    157,151.76x = 19,338,525,091.62
  5. Step 5: Solve for x
    x = 19,338,525,091.62/157,151.76
  6. Step 6: Final answer
    x = 123,056.37

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1.5x scale

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.