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Finding the Fourth Proportional to 73,680.25, 101,678.76 and 40,146.25

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Solution

The fourth proportional to 73,680.25, 101,678.76 and 40,146.25 is: 55,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,680.25 : 101,678.76 = 40,146.25 : x
  2. Step 2: Convert to fraction form
    73,680.25/101,678.76 = 40,146.25/x
  3. Step 3: Cross multiply
    73,680.25x = 101,678.76 × 40,146.25
  4. Step 4: Simplify right side
    73,680.25x = 4,082,020,918.65
  5. Step 5: Solve for x
    x = 4,082,020,918.65/73,680.25
  6. Step 6: Final answer
    x = 55,401.83

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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.