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Finding the Fourth Proportional to 78,590, 108,454.20 and 43,262

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Solution

The fourth proportional to 78,590, 108,454.20 and 43,262 is: 59,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,590 : 108,454.20 = 43,262 : x
  2. Step 2: Convert to fraction form
    78,590/108,454.20 = 43,262/x
  3. Step 3: Cross multiply
    78,590x = 108,454.20 × 43,262
  4. Step 4: Simplify right side
    78,590x = 4,691,945,600.40
  5. Step 5: Solve for x
    x = 4,691,945,600.40/78,590
  6. Step 6: Final answer
    x = 59,701.56

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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.