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Finding the Fourth Proportional to 86,959, 130,432.12 and 27,778.78

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Solution

The fourth proportional to 86,959, 130,432.12 and 27,778.78 is: 41,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,959 : 130,432.12 = 27,778.78 : x
  2. Step 2: Convert to fraction form
    86,959/130,432.12 = 27,778.78/x
  3. Step 3: Cross multiply
    86,959x = 130,432.12 × 27,778.78
  4. Step 4: Simplify right side
    86,959x = 3,623,245,166.41
  5. Step 5: Solve for x
    x = 3,623,245,166.41/86,959
  6. Step 6: Final answer
    x = 41,666.13

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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.