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Finding the Fourth Proportional to 73,748.48, 101,772 and 40,213.76

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Solution

The fourth proportional to 73,748.48, 101,772 and 40,213.76 is: 55,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,748.48 : 101,772 = 40,213.76 : x
  2. Step 2: Convert to fraction form
    73,748.48/101,772 = 40,213.76/x
  3. Step 3: Cross multiply
    73,748.48x = 101,772 × 40,213.76
  4. Step 4: Simplify right side
    73,748.48x = 4,092,634,782.72
  5. Step 5: Solve for x
    x = 4,092,634,782.72/73,748.48
  6. Step 6: Final answer
    x = 55,494.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.