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Finding the Fourth Proportional to 137,225.10, 205,722.45 and 71,561.10

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Solution

The fourth proportional to 137,225.10, 205,722.45 and 71,561.10 is: 107,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,225.10 : 205,722.45 = 71,561.10 : x
  2. Step 2: Convert to fraction form
    137,225.10/205,722.45 = 71,561.10/x
  3. Step 3: Cross multiply
    137,225.10x = 205,722.45 × 71,561.10
  4. Step 4: Simplify right side
    137,225.10x = 14,721,724,816.70
  5. Step 5: Solve for x
    x = 14,721,724,816.70/137,225.10
  6. Step 6: Final answer
    x = 107,281.57

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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.