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Finding the Fourth Proportional to 74,254.90, 102,470.52 and 41,989

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Solution

The fourth proportional to 74,254.90, 102,470.52 and 41,989 is: 57,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,254.90 : 102,470.52 = 41,989 : x
  2. Step 2: Convert to fraction form
    74,254.90/102,470.52 = 41,989/x
  3. Step 3: Cross multiply
    74,254.90x = 102,470.52 × 41,989
  4. Step 4: Simplify right side
    74,254.90x = 4,302,634,664.28
  5. Step 5: Solve for x
    x = 4,302,634,664.28/74,254.90
  6. Step 6: Final answer
    x = 57,944.12

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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.