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Finding the Fourth Proportional to 189,152.66, 261,152.25 and 117,630.02

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Solution

The fourth proportional to 189,152.66, 261,152.25 and 117,630.02 is: 162,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,152.66 : 261,152.25 = 117,630.02 : x
  2. Step 2: Convert to fraction form
    189,152.66/261,152.25 = 117,630.02/x
  3. Step 3: Cross multiply
    189,152.66x = 261,152.25 × 117,630.02
  4. Step 4: Simplify right side
    189,152.66x = 30,719,344,390.55
  5. Step 5: Solve for x
    x = 30,719,344,390.55/189,152.66
  6. Step 6: Final answer
    x = 162,405.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.