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Finding the Fourth Proportional to 78,000.40, 116,741.40 and 54,672.40

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Solution

The fourth proportional to 78,000.40, 116,741.40 and 54,672.40 is: 81,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000.40 : 116,741.40 = 54,672.40 : x
  2. Step 2: Convert to fraction form
    78,000.40/116,741.40 = 54,672.40/x
  3. Step 3: Cross multiply
    78,000.40x = 116,741.40 × 54,672.40
  4. Step 4: Simplify right side
    78,000.40x = 6,382,532,517.36
  5. Step 5: Solve for x
    x = 6,382,532,517.36/78,000.40
  6. Step 6: Final answer
    x = 81,826.92

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1.5x scale

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.