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Finding the Fourth Proportional to 71,156.90, 106,719.62 and 20,544.93

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Solution

The fourth proportional to 71,156.90, 106,719.62 and 20,544.93 is: 30,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156.90 : 106,719.62 = 20,544.93 : x
  2. Step 2: Convert to fraction form
    71,156.90/106,719.62 = 20,544.93/x
  3. Step 3: Cross multiply
    71,156.90x = 106,719.62 × 20,544.93
  4. Step 4: Simplify right side
    71,156.90x = 2,192,547,122.53
  5. Step 5: Solve for x
    x = 2,192,547,122.53/71,156.90
  6. Step 6: Final answer
    x = 30,812.85

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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.