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Finding the Fourth Proportional to 140,423.10, 211,072.05 and 137,798.70

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Solution

The fourth proportional to 140,423.10, 211,072.05 and 137,798.70 is: 207,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,423.10 : 211,072.05 = 137,798.70 : x
  2. Step 2: Convert to fraction form
    140,423.10/211,072.05 = 137,798.70/x
  3. Step 3: Cross multiply
    140,423.10x = 211,072.05 × 137,798.70
  4. Step 4: Simplify right side
    140,423.10x = 29,085,454,096.34
  5. Step 5: Solve for x
    x = 29,085,454,096.34/140,423.10
  6. Step 6: Final answer
    x = 207,127.28

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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.