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Finding the Fourth Proportional to 86,130.46, 129,220.80 and 52,871.86

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Solution

The fourth proportional to 86,130.46, 129,220.80 and 52,871.86 is: 79,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,130.46 : 129,220.80 = 52,871.86 : x
  2. Step 2: Convert to fraction form
    86,130.46/129,220.80 = 52,871.86/x
  3. Step 3: Cross multiply
    86,130.46x = 129,220.80 × 52,871.86
  4. Step 4: Simplify right side
    86,130.46x = 6,832,144,046.69
  5. Step 5: Solve for x
    x = 6,832,144,046.69/86,130.46
  6. Step 6: Final answer
    x = 79,323.20

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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.