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Finding the Fourth Proportional to 77,667.46, 115,934.19 and 66,644.98

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Solution

The fourth proportional to 77,667.46, 115,934.19 and 66,644.98 is: 99,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,667.46 : 115,934.19 = 66,644.98 : x
  2. Step 2: Convert to fraction form
    77,667.46/115,934.19 = 66,644.98/x
  3. Step 3: Cross multiply
    77,667.46x = 115,934.19 × 66,644.98
  4. Step 4: Simplify right side
    77,667.46x = 7,726,431,234.11
  5. Step 5: Solve for x
    x = 7,726,431,234.11/77,667.46
  6. Step 6: Final answer
    x = 99,480.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.