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Finding the Fourth Proportional to 157,333.95, 217,120 and 85,713.80

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Solution

The fourth proportional to 157,333.95, 217,120 and 85,713.80 is: 118,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,333.95 : 217,120 = 85,713.80 : x
  2. Step 2: Convert to fraction form
    157,333.95/217,120 = 85,713.80/x
  3. Step 3: Cross multiply
    157,333.95x = 217,120 × 85,713.80
  4. Step 4: Simplify right side
    157,333.95x = 18,610,180,256
  5. Step 5: Solve for x
    x = 18,610,180,256/157,333.95
  6. Step 6: Final answer
    x = 118,284.58

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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.