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Finding the Fourth Proportional to 77,306.40, 115,700.40 and 67,975.20

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Solution

The fourth proportional to 77,306.40, 115,700.40 and 67,975.20 is: 101,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,306.40 : 115,700.40 = 67,975.20 : x
  2. Step 2: Convert to fraction form
    77,306.40/115,700.40 = 67,975.20/x
  3. Step 3: Cross multiply
    77,306.40x = 115,700.40 × 67,975.20
  4. Step 4: Simplify right side
    77,306.40x = 7,864,757,830.08
  5. Step 5: Solve for x
    x = 7,864,757,830.08/77,306.40
  6. Step 6: Final answer
    x = 101,734.89

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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.