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Finding the Fourth Proportional to 140,497.86, 210,780.06 and 40,660.38

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Solution

The fourth proportional to 140,497.86, 210,780.06 and 40,660.38 is: 61,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,497.86 : 210,780.06 = 40,660.38 : x
  2. Step 2: Convert to fraction form
    140,497.86/210,780.06 = 40,660.38/x
  3. Step 3: Cross multiply
    140,497.86x = 210,780.06 × 40,660.38
  4. Step 4: Simplify right side
    140,497.86x = 8,570,397,336.02
  5. Step 5: Solve for x
    x = 8,570,397,336.02/140,497.86
  6. Step 6: Final answer
    x = 61,000.20

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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.