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Finding the Fourth Proportional to 157,133.60, 216,839.84 and 85,512

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Solution

The fourth proportional to 157,133.60, 216,839.84 and 85,512 is: 118,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,133.60 : 216,839.84 = 85,512 : x
  2. Step 2: Convert to fraction form
    157,133.60/216,839.84 = 85,512/x
  3. Step 3: Cross multiply
    157,133.60x = 216,839.84 × 85,512
  4. Step 4: Simplify right side
    157,133.60x = 18,542,408,398.08
  5. Step 5: Solve for x
    x = 18,542,408,398.08/157,133.60
  6. Step 6: Final answer
    x = 118,004.10

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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.