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Finding the Fourth Proportional to 78,664.58, 108,556.92 and 42,854.88

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Solution

The fourth proportional to 78,664.58, 108,556.92 and 42,854.88 is: 59,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,664.58 : 108,556.92 = 42,854.88 : x
  2. Step 2: Convert to fraction form
    78,664.58/108,556.92 = 42,854.88/x
  3. Step 3: Cross multiply
    78,664.58x = 108,556.92 × 42,854.88
  4. Step 4: Simplify right side
    78,664.58x = 4,652,193,779.77
  5. Step 5: Solve for x
    x = 4,652,193,779.77/78,664.58
  6. Step 6: Final answer
    x = 59,139.63

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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.