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Finding the Fourth Proportional to 113,915.88, 157,217.46 and 83,711.52

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Solution

The fourth proportional to 113,915.88, 157,217.46 and 83,711.52 is: 115,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,915.88 : 157,217.46 = 83,711.52 : x
  2. Step 2: Convert to fraction form
    113,915.88/157,217.46 = 83,711.52/x
  3. Step 3: Cross multiply
    113,915.88x = 157,217.46 × 83,711.52
  4. Step 4: Simplify right side
    113,915.88x = 13,160,912,547.14
  5. Step 5: Solve for x
    x = 13,160,912,547.14/113,915.88
  6. Step 6: Final answer
    x = 115,531.85

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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.