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Finding the Fourth Proportional to 84,515.79, 126,586.82 and 57,798.46

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Solution

The fourth proportional to 84,515.79, 126,586.82 and 57,798.46 is: 86,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,515.79 : 126,586.82 = 57,798.46 : x
  2. Step 2: Convert to fraction form
    84,515.79/126,586.82 = 57,798.46/x
  3. Step 3: Cross multiply
    84,515.79x = 126,586.82 × 57,798.46
  4. Step 4: Simplify right side
    84,515.79x = 7,316,523,229.91
  5. Step 5: Solve for x
    x = 7,316,523,229.91/84,515.79
  6. Step 6: Final answer
    x = 86,569.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.