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Finding the Fourth Proportional to 83,851.90, 115,719.65 and 48,042

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Solution

The fourth proportional to 83,851.90, 115,719.65 and 48,042 is: 66,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,851.90 : 115,719.65 = 48,042 : x
  2. Step 2: Convert to fraction form
    83,851.90/115,719.65 = 48,042/x
  3. Step 3: Cross multiply
    83,851.90x = 115,719.65 × 48,042
  4. Step 4: Simplify right side
    83,851.90x = 5,559,403,425.30
  5. Step 5: Solve for x
    x = 5,559,403,425.30/83,851.90
  6. Step 6: Final answer
    x = 66,300.27

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