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Finding the Fourth Proportional to 174,672.30, 261,835.65 and 85,853.10

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Solution

The fourth proportional to 174,672.30, 261,835.65 and 85,853.10 is: 128,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672.30 : 261,835.65 = 85,853.10 : x
  2. Step 2: Convert to fraction form
    174,672.30/261,835.65 = 85,853.10/x
  3. Step 3: Cross multiply
    174,672.30x = 261,835.65 × 85,853.10
  4. Step 4: Simplify right side
    174,672.30x = 22,479,402,243.02
  5. Step 5: Solve for x
    x = 22,479,402,243.02/174,672.30
  6. Step 6: Final answer
    x = 128,694.72

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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.