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Finding the Fourth Proportional to 243,733.65, 365,465.37 and 99,740.61

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Solution

The fourth proportional to 243,733.65, 365,465.37 and 99,740.61 is: 149,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,733.65 : 365,465.37 = 99,740.61 : x
  2. Step 2: Convert to fraction form
    243,733.65/365,465.37 = 99,740.61/x
  3. Step 3: Cross multiply
    243,733.65x = 365,465.37 × 99,740.61
  4. Step 4: Simplify right side
    243,733.65x = 36,451,738,937.68
  5. Step 5: Solve for x
    x = 36,451,738,937.68/243,733.65
  6. Step 6: Final answer
    x = 149,555.63

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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.