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Finding the Fourth Proportional to 123,959.70, 185,965.65 and 64,779.48

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Solution

The fourth proportional to 123,959.70, 185,965.65 and 64,779.48 is: 97,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,959.70 : 185,965.65 = 64,779.48 : x
  2. Step 2: Convert to fraction form
    123,959.70/185,965.65 = 64,779.48/x
  3. Step 3: Cross multiply
    123,959.70x = 185,965.65 × 64,779.48
  4. Step 4: Simplify right side
    123,959.70x = 12,046,758,104.86
  5. Step 5: Solve for x
    x = 12,046,758,104.86/123,959.70
  6. Step 6: Final answer
    x = 97,182.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.