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Finding the Fourth Proportional to 101,785.57, 152,522.64 and 54,407.40

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Solution

The fourth proportional to 101,785.57, 152,522.64 and 54,407.40 is: 81,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.57 : 152,522.64 = 54,407.40 : x
  2. Step 2: Convert to fraction form
    101,785.57/152,522.64 = 54,407.40/x
  3. Step 3: Cross multiply
    101,785.57x = 152,522.64 × 54,407.40
  4. Step 4: Simplify right side
    101,785.57x = 8,298,360,283.54
  5. Step 5: Solve for x
    x = 8,298,360,283.54/101,785.57
  6. Step 6: Final answer
    x = 81,527.87

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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.