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Finding the Fourth Proportional to 78,679.90, 108,579.50 and 42,869.90

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Solution

The fourth proportional to 78,679.90, 108,579.50 and 42,869.90 is: 59,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,679.90 : 108,579.50 = 42,869.90 : x
  2. Step 2: Convert to fraction form
    78,679.90/108,579.50 = 42,869.90/x
  3. Step 3: Cross multiply
    78,679.90x = 108,579.50 × 42,869.90
  4. Step 4: Simplify right side
    78,679.90x = 4,654,792,307.05
  5. Step 5: Solve for x
    x = 4,654,792,307.05/78,679.90
  6. Step 6: Final answer
    x = 59,161.14

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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.