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Finding the Fourth Proportional to 86,820.73, 130,211.31 and 41,819.10

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Solution

The fourth proportional to 86,820.73, 130,211.31 and 41,819.10 is: 62,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,820.73 : 130,211.31 = 41,819.10 : x
  2. Step 2: Convert to fraction form
    86,820.73/130,211.31 = 41,819.10/x
  3. Step 3: Cross multiply
    86,820.73x = 130,211.31 × 41,819.10
  4. Step 4: Simplify right side
    86,820.73x = 5,445,319,794.02
  5. Step 5: Solve for x
    x = 5,445,319,794.02/86,820.73
  6. Step 6: Final answer
    x = 62,719.12

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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.