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Finding the Fourth Proportional to 106,395.80, 159,631.80 and 45,580.55

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Solution

The fourth proportional to 106,395.80, 159,631.80 and 45,580.55 is: 68,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,395.80 : 159,631.80 = 45,580.55 : x
  2. Step 2: Convert to fraction form
    106,395.80/159,631.80 = 45,580.55/x
  3. Step 3: Cross multiply
    106,395.80x = 159,631.80 × 45,580.55
  4. Step 4: Simplify right side
    106,395.80x = 7,276,104,272.40
  5. Step 5: Solve for x
    x = 7,276,104,272.40/106,395.80
  6. Step 6: Final answer
    x = 68,387.14

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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.