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Finding the Fourth Proportional to 86,321.47, 129,461.70 and 32,993.87

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Solution

The fourth proportional to 86,321.47, 129,461.70 and 32,993.87 is: 49,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,321.47 : 129,461.70 = 32,993.87 : x
  2. Step 2: Convert to fraction form
    86,321.47/129,461.70 = 32,993.87/x
  3. Step 3: Cross multiply
    86,321.47x = 129,461.70 × 32,993.87
  4. Step 4: Simplify right side
    86,321.47x = 4,271,442,975.74
  5. Step 5: Solve for x
    x = 4,271,442,975.74/86,321.47
  6. Step 6: Final answer
    x = 49,482.97

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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.