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Finding the Fourth Proportional to 113,084.64, 156,084.84 and 65,367.72

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Solution

The fourth proportional to 113,084.64, 156,084.84 and 65,367.72 is: 90,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,084.64 : 156,084.84 = 65,367.72 : x
  2. Step 2: Convert to fraction form
    113,084.64/156,084.84 = 65,367.72/x
  3. Step 3: Cross multiply
    113,084.64x = 156,084.84 × 65,367.72
  4. Step 4: Simplify right side
    113,084.64x = 10,202,910,117.36
  5. Step 5: Solve for x
    x = 10,202,910,117.36/113,084.64
  6. Step 6: Final answer
    x = 90,223.66

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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.