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Finding the Fourth Proportional to 86,827.30, 130,046.55 and 67,041.70

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Solution

The fourth proportional to 86,827.30, 130,046.55 and 67,041.70 is: 100,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,827.30 : 130,046.55 = 67,041.70 : x
  2. Step 2: Convert to fraction form
    86,827.30/130,046.55 = 67,041.70/x
  3. Step 3: Cross multiply
    86,827.30x = 130,046.55 × 67,041.70
  4. Step 4: Simplify right side
    86,827.30x = 8,718,541,791.14
  5. Step 5: Solve for x
    x = 8,718,541,791.14/86,827.30
  6. Step 6: Final answer
    x = 100,412.45

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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.