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Finding the Fourth Proportional to 146,038.91, 218,964.17 and 57,301.38

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Solution

The fourth proportional to 146,038.91, 218,964.17 and 57,301.38 is: 85,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,038.91 : 218,964.17 = 57,301.38 : x
  2. Step 2: Convert to fraction form
    146,038.91/218,964.17 = 57,301.38/x
  3. Step 3: Cross multiply
    146,038.91x = 218,964.17 × 57,301.38
  4. Step 4: Simplify right side
    146,038.91x = 12,546,948,825.05
  5. Step 5: Solve for x
    x = 12,546,948,825.05/146,038.91
  6. Step 6: Final answer
    x = 85,915.11

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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.