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Finding the Fourth Proportional to 48,643.78, 72,965.67 and 11,707.78

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Solution

The fourth proportional to 48,643.78, 72,965.67 and 11,707.78 is: 17,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.78 : 72,965.67 = 11,707.78 : x
  2. Step 2: Convert to fraction form
    48,643.78/72,965.67 = 11,707.78/x
  3. Step 3: Cross multiply
    48,643.78x = 72,965.67 × 11,707.78
  4. Step 4: Simplify right side
    48,643.78x = 854,266,011.91
  5. Step 5: Solve for x
    x = 854,266,011.91/48,643.78
  6. Step 6: Final answer
    x = 17,561.67

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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.