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Finding the Fourth Proportional to 137,389.80, 205,780.23 and 105,565.62

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Solution

The fourth proportional to 137,389.80, 205,780.23 and 105,565.62 is: 158,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,389.80 : 205,780.23 = 105,565.62 : x
  2. Step 2: Convert to fraction form
    137,389.80/205,780.23 = 105,565.62/x
  3. Step 3: Cross multiply
    137,389.80x = 205,780.23 × 105,565.62
  4. Step 4: Simplify right side
    137,389.80x = 21,723,317,563.69
  5. Step 5: Solve for x
    x = 21,723,317,563.69/137,389.80
  6. Step 6: Final answer
    x = 158,114.49

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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.