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Finding the Fourth Proportional to 56,778.24, 78,348 and 32,912.40

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Solution

The fourth proportional to 56,778.24, 78,348 and 32,912.40 is: 45,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,778.24 : 78,348 = 32,912.40 : x
  2. Step 2: Convert to fraction form
    56,778.24/78,348 = 32,912.40/x
  3. Step 3: Cross multiply
    56,778.24x = 78,348 × 32,912.40
  4. Step 4: Simplify right side
    56,778.24x = 2,578,620,715.20
  5. Step 5: Solve for x
    x = 2,578,620,715.20/56,778.24
  6. Step 6: Final answer
    x = 45,415.65

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1.5x scale

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.