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Finding the Fourth Proportional to 130,295.94, 195,503.85 and 90,375.90

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Solution

The fourth proportional to 130,295.94, 195,503.85 and 90,375.90 is: 135,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,295.94 : 195,503.85 = 90,375.90 : x
  2. Step 2: Convert to fraction form
    130,295.94/195,503.85 = 90,375.90/x
  3. Step 3: Cross multiply
    130,295.94x = 195,503.85 × 90,375.90
  4. Step 4: Simplify right side
    130,295.94x = 17,668,836,397.22
  5. Step 5: Solve for x
    x = 17,668,836,397.22/130,295.94
  6. Step 6: Final answer
    x = 135,605.43

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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.