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Finding the Fourth Proportional to 71,424.35, 107,132.27 and 31,970.87

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Solution

The fourth proportional to 71,424.35, 107,132.27 and 31,970.87 is: 47,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424.35 : 107,132.27 = 31,970.87 : x
  2. Step 2: Convert to fraction form
    71,424.35/107,132.27 = 31,970.87/x
  3. Step 3: Cross multiply
    71,424.35x = 107,132.27 × 31,970.87
  4. Step 4: Simplify right side
    71,424.35x = 3,425,111,181.46
  5. Step 5: Solve for x
    x = 3,425,111,181.46/71,424.35
  6. Step 6: Final answer
    x = 47,954.39

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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.