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Finding the Fourth Proportional to 243,978.89, 365,986.76 and 75,516.30

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Solution

The fourth proportional to 243,978.89, 365,986.76 and 75,516.30 is: 113,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,978.89 : 365,986.76 = 75,516.30 : x
  2. Step 2: Convert to fraction form
    243,978.89/365,986.76 = 75,516.30/x
  3. Step 3: Cross multiply
    243,978.89x = 365,986.76 × 75,516.30
  4. Step 4: Simplify right side
    243,978.89x = 27,637,965,586.61
  5. Step 5: Solve for x
    x = 27,637,965,586.61/243,978.89
  6. Step 6: Final answer
    x = 113,280.15

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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.