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Finding the Fourth Proportional to 57,510.96, 86,119.56 and 45,841.20

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Solution

The fourth proportional to 57,510.96, 86,119.56 and 45,841.20 is: 68,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,510.96 : 86,119.56 = 45,841.20 : x
  2. Step 2: Convert to fraction form
    57,510.96/86,119.56 = 45,841.20/x
  3. Step 3: Cross multiply
    57,510.96x = 86,119.56 × 45,841.20
  4. Step 4: Simplify right side
    57,510.96x = 3,947,823,973.87
  5. Step 5: Solve for x
    x = 3,947,823,973.87/57,510.96
  6. Step 6: Final answer
    x = 68,644.72

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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.