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Finding the Fourth Proportional to 157,002, 216,662.76 and 89,938.32

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Solution

The fourth proportional to 157,002, 216,662.76 and 89,938.32 is: 124,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,002 : 216,662.76 = 89,938.32 : x
  2. Step 2: Convert to fraction form
    157,002/216,662.76 = 89,938.32/x
  3. Step 3: Cross multiply
    157,002x = 216,662.76 × 89,938.32
  4. Step 4: Simplify right side
    157,002x = 19,486,284,640.96
  5. Step 5: Solve for x
    x = 19,486,284,640.96/157,002
  6. Step 6: Final answer
    x = 124,114.88

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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.