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Finding the Fourth Proportional to 157,172.32, 216,894 and 90,100

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Solution

The fourth proportional to 157,172.32, 216,894 and 90,100 is: 124,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,172.32 : 216,894 = 90,100 : x
  2. Step 2: Convert to fraction form
    157,172.32/216,894 = 90,100/x
  3. Step 3: Cross multiply
    157,172.32x = 216,894 × 90,100
  4. Step 4: Simplify right side
    157,172.32x = 19,542,149,400
  5. Step 5: Solve for x
    x = 19,542,149,400/157,172.32
  6. Step 6: Final answer
    x = 124,335.82

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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.