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Finding the Fourth Proportional to 78,826.50, 108,782.87 and 43,018.80

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Solution

The fourth proportional to 78,826.50, 108,782.87 and 43,018.80 is: 59,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826.50 : 108,782.87 = 43,018.80 : x
  2. Step 2: Convert to fraction form
    78,826.50/108,782.87 = 43,018.80/x
  3. Step 3: Cross multiply
    78,826.50x = 108,782.87 × 43,018.80
  4. Step 4: Simplify right side
    78,826.50x = 4,679,708,312.86
  5. Step 5: Solve for x
    x = 4,679,708,312.86/78,826.50
  6. Step 6: Final answer
    x = 59,367.20

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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.