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Finding the Fourth Proportional to 81,740.76, 112,812.33 and 45,930

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Solution

The fourth proportional to 81,740.76, 112,812.33 and 45,930 is: 63,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,740.76 : 112,812.33 = 45,930 : x
  2. Step 2: Convert to fraction form
    81,740.76/112,812.33 = 45,930/x
  3. Step 3: Cross multiply
    81,740.76x = 112,812.33 × 45,930
  4. Step 4: Simplify right side
    81,740.76x = 5,181,470,316.90
  5. Step 5: Solve for x
    x = 5,181,470,316.90/81,740.76
  6. Step 6: Final answer
    x = 63,389.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.