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Finding the Fourth Proportional to 78,389.76, 108,179.82 and 42,579.76

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Solution

The fourth proportional to 78,389.76, 108,179.82 and 42,579.76 is: 58,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,389.76 : 108,179.82 = 42,579.76 : x
  2. Step 2: Convert to fraction form
    78,389.76/108,179.82 = 42,579.76/x
  3. Step 3: Cross multiply
    78,389.76x = 108,179.82 × 42,579.76
  4. Step 4: Simplify right side
    78,389.76x = 4,606,270,772.44
  5. Step 5: Solve for x
    x = 4,606,270,772.44/78,389.76
  6. Step 6: Final answer
    x = 58,761.13

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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.