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Finding the Fourth Proportional to 140,671.59, 210,963.30 and 40,838.68

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Solution

The fourth proportional to 140,671.59, 210,963.30 and 40,838.68 is: 61,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,671.59 : 210,963.30 = 40,838.68 : x
  2. Step 2: Convert to fraction form
    140,671.59/210,963.30 = 40,838.68/x
  3. Step 3: Cross multiply
    140,671.59x = 210,963.30 × 40,838.68
  4. Step 4: Simplify right side
    140,671.59x = 8,615,462,700.44
  5. Step 5: Solve for x
    x = 8,615,462,700.44/140,671.59
  6. Step 6: Final answer
    x = 61,245.22

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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.