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Finding the Fourth Proportional to 71,219.78, 106,780.46 and 31,219.55

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Solution

The fourth proportional to 71,219.78, 106,780.46 and 31,219.55 is: 46,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,219.78 : 106,780.46 = 31,219.55 : x
  2. Step 2: Convert to fraction form
    71,219.78/106,780.46 = 31,219.55/x
  3. Step 3: Cross multiply
    71,219.78x = 106,780.46 × 31,219.55
  4. Step 4: Simplify right side
    71,219.78x = 3,333,637,737.49
  5. Step 5: Solve for x
    x = 3,333,637,737.49/71,219.78
  6. Step 6: Final answer
    x = 46,807.75

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1.5x scale

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.