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Finding the Fourth Proportional to 78,826.95, 108,781.50 and 43,017.75

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Solution

The fourth proportional to 78,826.95, 108,781.50 and 43,017.75 is: 59,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826.95 : 108,781.50 = 43,017.75 : x
  2. Step 2: Convert to fraction form
    78,826.95/108,781.50 = 43,017.75/x
  3. Step 3: Cross multiply
    78,826.95x = 108,781.50 × 43,017.75
  4. Step 4: Simplify right side
    78,826.95x = 4,679,535,371.63
  5. Step 5: Solve for x
    x = 4,679,535,371.63/78,826.95
  6. Step 6: Final answer
    x = 59,364.66

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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.