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Finding the Fourth Proportional to 78,830.52, 108,788.74 and 43,022.48

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Solution

The fourth proportional to 78,830.52, 108,788.74 and 43,022.48 is: 59,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.52 : 108,788.74 = 43,022.48 : x
  2. Step 2: Convert to fraction form
    78,830.52/108,788.74 = 43,022.48/x
  3. Step 3: Cross multiply
    78,830.52x = 108,788.74 × 43,022.48
  4. Step 4: Simplify right side
    78,830.52x = 4,680,360,739.38
  5. Step 5: Solve for x
    x = 4,680,360,739.38/78,830.52
  6. Step 6: Final answer
    x = 59,372.45

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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.