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Finding the Fourth Proportional to 273,871.47, 410,729.45 and 86,878.11

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Solution

The fourth proportional to 273,871.47, 410,729.45 and 86,878.11 is: 130,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,871.47 : 410,729.45 = 86,878.11 : x
  2. Step 2: Convert to fraction form
    273,871.47/410,729.45 = 86,878.11/x
  3. Step 3: Cross multiply
    273,871.47x = 410,729.45 × 86,878.11
  4. Step 4: Simplify right side
    273,871.47x = 35,683,397,902.95
  5. Step 5: Solve for x
    x = 35,683,397,902.95/273,871.47
  6. Step 6: Final answer
    x = 130,292.50

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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.