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Finding the Fourth Proportional to 78,775.85, 108,710.61 and 42,965.75

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Solution

The fourth proportional to 78,775.85, 108,710.61 and 42,965.75 is: 59,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775.85 : 108,710.61 = 42,965.75 : x
  2. Step 2: Convert to fraction form
    78,775.85/108,710.61 = 42,965.75/x
  3. Step 3: Cross multiply
    78,775.85x = 108,710.61 × 42,965.75
  4. Step 4: Simplify right side
    78,775.85x = 4,670,833,163.38
  5. Step 5: Solve for x
    x = 4,670,833,163.38/78,775.85
  6. Step 6: Final answer
    x = 59,292.70

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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.