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Finding the Fourth Proportional to 105,452.80, 158,332.80 and 74,425.60

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Solution

The fourth proportional to 105,452.80, 158,332.80 and 74,425.60 is: 111,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.80 : 158,332.80 = 74,425.60 : x
  2. Step 2: Convert to fraction form
    105,452.80/158,332.80 = 74,425.60/x
  3. Step 3: Cross multiply
    105,452.80x = 158,332.80 × 74,425.60
  4. Step 4: Simplify right side
    105,452.80x = 11,784,013,639.68
  5. Step 5: Solve for x
    x = 11,784,013,639.68/105,452.80
  6. Step 6: Final answer
    x = 111,746.81

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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.