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Finding the Fourth Proportional to 243,647.24, 365,378.70 and 103,471.88

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Solution

The fourth proportional to 243,647.24, 365,378.70 and 103,471.88 is: 155,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,647.24 : 365,378.70 = 103,471.88 : x
  2. Step 2: Convert to fraction form
    243,647.24/365,378.70 = 103,471.88/x
  3. Step 3: Cross multiply
    243,647.24x = 365,378.70 × 103,471.88
  4. Step 4: Simplify right side
    243,647.24x = 37,806,421,000.96
  5. Step 5: Solve for x
    x = 37,806,421,000.96/243,647.24
  6. Step 6: Final answer
    x = 155,168.68

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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.