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Finding the Fourth Proportional to 135,120, 202,706.88 and 41,621.76

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Solution

The fourth proportional to 135,120, 202,706.88 and 41,621.76 is: 62,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,120 : 202,706.88 = 41,621.76 : x
  2. Step 2: Convert to fraction form
    135,120/202,706.88 = 41,621.76/x
  3. Step 3: Cross multiply
    135,120x = 202,706.88 × 41,621.76
  4. Step 4: Simplify right side
    135,120x = 8,437,017,109.71
  5. Step 5: Solve for x
    x = 8,437,017,109.71/135,120
  6. Step 6: Final answer
    x = 62,440.92

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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.