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Finding the Fourth Proportional to 140,773.72, 194,271.68 and 85,582.95

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Solution

The fourth proportional to 140,773.72, 194,271.68 and 85,582.95 is: 118,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,773.72 : 194,271.68 = 85,582.95 : x
  2. Step 2: Convert to fraction form
    140,773.72/194,271.68 = 85,582.95/x
  3. Step 3: Cross multiply
    140,773.72x = 194,271.68 × 85,582.95
  4. Step 4: Simplify right side
    140,773.72x = 16,626,343,047.94
  5. Step 5: Solve for x
    x = 16,626,343,047.94/140,773.72
  6. Step 6: Final answer
    x = 118,106.87

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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.