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Finding the Fourth Proportional to 49,778, 74,665.08 and 12,338.16

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Solution

The fourth proportional to 49,778, 74,665.08 and 12,338.16 is: 18,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,778 : 74,665.08 = 12,338.16 : x
  2. Step 2: Convert to fraction form
    49,778/74,665.08 = 12,338.16/x
  3. Step 3: Cross multiply
    49,778x = 74,665.08 × 12,338.16
  4. Step 4: Simplify right side
    49,778x = 921,229,703.45
  5. Step 5: Solve for x
    x = 921,229,703.45/49,778
  6. Step 6: Final answer
    x = 18,506.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.