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Finding the Fourth Proportional to 169,915.20, 254,864.70 and 57,584.40

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Solution

The fourth proportional to 169,915.20, 254,864.70 and 57,584.40 is: 86,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,915.20 : 254,864.70 = 57,584.40 : x
  2. Step 2: Convert to fraction form
    169,915.20/254,864.70 = 57,584.40/x
  3. Step 3: Cross multiply
    169,915.20x = 254,864.70 × 57,584.40
  4. Step 4: Simplify right side
    169,915.20x = 14,676,230,830.68
  5. Step 5: Solve for x
    x = 14,676,230,830.68/169,915.20
  6. Step 6: Final answer
    x = 86,373.85

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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.