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Finding the Fourth Proportional to 140,494.86, 210,775.56 and 40,657.38

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Solution

The fourth proportional to 140,494.86, 210,775.56 and 40,657.38 is: 60,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,494.86 : 210,775.56 = 40,657.38 : x
  2. Step 2: Convert to fraction form
    140,494.86/210,775.56 = 40,657.38/x
  3. Step 3: Cross multiply
    140,494.86x = 210,775.56 × 40,657.38
  4. Step 4: Simplify right side
    140,494.86x = 8,569,582,037.63
  5. Step 5: Solve for x
    x = 8,569,582,037.63/140,494.86
  6. Step 6: Final answer
    x = 60,995.70

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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.