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Finding the Fourth Proportional to 106,061.40, 158,745.92 and 77,974.02

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Solution

The fourth proportional to 106,061.40, 158,745.92 and 77,974.02 is: 116,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,061.40 : 158,745.92 = 77,974.02 : x
  2. Step 2: Convert to fraction form
    106,061.40/158,745.92 = 77,974.02/x
  3. Step 3: Cross multiply
    106,061.40x = 158,745.92 × 77,974.02
  4. Step 4: Simplify right side
    106,061.40x = 12,378,057,541.00
  5. Step 5: Solve for x
    x = 12,378,057,541.00/106,061.40
  6. Step 6: Final answer
    x = 116,706.53

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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.