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Finding the Fourth Proportional to 161,143.70, 241,423.95 and 137,815.70

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Solution

The fourth proportional to 161,143.70, 241,423.95 and 137,815.70 is: 206,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,143.70 : 241,423.95 = 137,815.70 : x
  2. Step 2: Convert to fraction form
    161,143.70/241,423.95 = 137,815.70/x
  3. Step 3: Cross multiply
    161,143.70x = 241,423.95 × 137,815.70
  4. Step 4: Simplify right side
    161,143.70x = 33,272,010,666.02
  5. Step 5: Solve for x
    x = 33,272,010,666.02/161,143.70
  6. Step 6: Final answer
    x = 206,474.16

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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.