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Finding the Fourth Proportional to 140,779.54, 194,275.80 and 77,119.60

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Solution

The fourth proportional to 140,779.54, 194,275.80 and 77,119.60 is: 106,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,779.54 : 194,275.80 = 77,119.60 : x
  2. Step 2: Convert to fraction form
    140,779.54/194,275.80 = 77,119.60/x
  3. Step 3: Cross multiply
    140,779.54x = 194,275.80 × 77,119.60
  4. Step 4: Simplify right side
    140,779.54x = 14,982,471,985.68
  5. Step 5: Solve for x
    x = 14,982,471,985.68/140,779.54
  6. Step 6: Final answer
    x = 106,425.07

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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.