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Finding the Fourth Proportional to 138,421.24, 191,021.24 and 74,759.04

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Solution

The fourth proportional to 138,421.24, 191,021.24 and 74,759.04 is: 103,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421.24 : 191,021.24 = 74,759.04 : x
  2. Step 2: Convert to fraction form
    138,421.24/191,021.24 = 74,759.04/x
  3. Step 3: Cross multiply
    138,421.24x = 191,021.24 × 74,759.04
  4. Step 4: Simplify right side
    138,421.24x = 14,280,564,522.01
  5. Step 5: Solve for x
    x = 14,280,564,522.01/138,421.24
  6. Step 6: Final answer
    x = 103,167.44

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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.