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Finding the Fourth Proportional to 77,704.30, 115,989.17 and 66,681.82

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Solution

The fourth proportional to 77,704.30, 115,989.17 and 66,681.82 is: 99,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,704.30 : 115,989.17 = 66,681.82 : x
  2. Step 2: Convert to fraction form
    77,704.30/115,989.17 = 66,681.82/x
  3. Step 3: Cross multiply
    77,704.30x = 115,989.17 × 66,681.82
  4. Step 4: Simplify right side
    77,704.30x = 7,734,368,955.89
  5. Step 5: Solve for x
    x = 7,734,368,955.89/77,704.30
  6. Step 6: Final answer
    x = 99,535.92

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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.