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Finding the Fourth Proportional to 243,795.81, 365,728.80 and 75,330.90

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Solution

The fourth proportional to 243,795.81, 365,728.80 and 75,330.90 is: 113,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,795.81 : 365,728.80 = 75,330.90 : x
  2. Step 2: Convert to fraction form
    243,795.81/365,728.80 = 75,330.90/x
  3. Step 3: Cross multiply
    243,795.81x = 365,728.80 × 75,330.90
  4. Step 4: Simplify right side
    243,795.81x = 27,550,679,659.92
  5. Step 5: Solve for x
    x = 27,550,679,659.92/243,795.81
  6. Step 6: Final answer
    x = 113,007.19

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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.