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Finding the Fourth Proportional to 180,322.64, 270,508.56 and 75,117

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Solution

The fourth proportional to 180,322.64, 270,508.56 and 75,117 is: 112,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322.64 : 270,508.56 = 75,117 : x
  2. Step 2: Convert to fraction form
    180,322.64/270,508.56 = 75,117/x
  3. Step 3: Cross multiply
    180,322.64x = 270,508.56 × 75,117
  4. Step 4: Simplify right side
    180,322.64x = 20,319,791,501.52
  5. Step 5: Solve for x
    x = 20,319,791,501.52/180,322.64
  6. Step 6: Final answer
    x = 112,685.75

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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.