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Finding the Fourth Proportional to 74,515, 102,778.62 and 49,013.32

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Solution

The fourth proportional to 74,515, 102,778.62 and 49,013.32 is: 67,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,515 : 102,778.62 = 49,013.32 : x
  2. Step 2: Convert to fraction form
    74,515/102,778.62 = 49,013.32/x
  3. Step 3: Cross multiply
    74,515x = 102,778.62 × 49,013.32
  4. Step 4: Simplify right side
    74,515x = 5,037,521,391.22
  5. Step 5: Solve for x
    x = 5,037,521,391.22/74,515
  6. Step 6: Final answer
    x = 67,604.13

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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.