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Finding the Fourth Proportional to 78,826.70, 108,781.14 and 43,017.50

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Solution

The fourth proportional to 78,826.70, 108,781.14 and 43,017.50 is: 59,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826.70 : 108,781.14 = 43,017.50 : x
  2. Step 2: Convert to fraction form
    78,826.70/108,781.14 = 43,017.50/x
  3. Step 3: Cross multiply
    78,826.70x = 108,781.14 × 43,017.50
  4. Step 4: Simplify right side
    78,826.70x = 4,679,492,689.95
  5. Step 5: Solve for x
    x = 4,679,492,689.95/78,826.70
  6. Step 6: Final answer
    x = 59,364.31

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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.