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Finding the Fourth Proportional to 74,151.78, 102,319.38 and 41,885.16

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Solution

The fourth proportional to 74,151.78, 102,319.38 and 41,885.16 is: 57,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,151.78 : 102,319.38 = 41,885.16 : x
  2. Step 2: Convert to fraction form
    74,151.78/102,319.38 = 41,885.16/x
  3. Step 3: Cross multiply
    74,151.78x = 102,319.38 × 41,885.16
  4. Step 4: Simplify right side
    74,151.78x = 4,285,663,602.40
  5. Step 5: Solve for x
    x = 4,285,663,602.40/74,151.78
  6. Step 6: Final answer
    x = 57,795.83

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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.