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Finding the Fourth Proportional to 78,390.26, 108,180.51 and 42,580.26

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Solution

The fourth proportional to 78,390.26, 108,180.51 and 42,580.26 is: 58,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390.26 : 108,180.51 = 42,580.26 : x
  2. Step 2: Convert to fraction form
    78,390.26/108,180.51 = 42,580.26/x
  3. Step 3: Cross multiply
    78,390.26x = 108,180.51 × 42,580.26
  4. Step 4: Simplify right side
    78,390.26x = 4,606,354,242.73
  5. Step 5: Solve for x
    x = 4,606,354,242.73/78,390.26
  6. Step 6: Final answer
    x = 58,761.82

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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.