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Finding the Fourth Proportional to 84,156.91, 116,135.88 and 45,915.90

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Solution

The fourth proportional to 84,156.91, 116,135.88 and 45,915.90 is: 63,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,156.91 : 116,135.88 = 45,915.90 : x
  2. Step 2: Convert to fraction form
    84,156.91/116,135.88 = 45,915.90/x
  3. Step 3: Cross multiply
    84,156.91x = 116,135.88 × 45,915.90
  4. Step 4: Simplify right side
    84,156.91x = 5,332,483,452.49
  5. Step 5: Solve for x
    x = 5,332,483,452.49/84,156.91
  6. Step 6: Final answer
    x = 63,363.58

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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.