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Finding the Fourth Proportional to 77,456.34, 115,965.54 and 49,306.68

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Solution

The fourth proportional to 77,456.34, 115,965.54 and 49,306.68 is: 73,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456.34 : 115,965.54 = 49,306.68 : x
  2. Step 2: Convert to fraction form
    77,456.34/115,965.54 = 49,306.68/x
  3. Step 3: Cross multiply
    77,456.34x = 115,965.54 × 49,306.68
  4. Step 4: Simplify right side
    77,456.34x = 5,717,875,771.81
  5. Step 5: Solve for x
    x = 5,717,875,771.81/77,456.34
  6. Step 6: Final answer
    x = 73,820.63

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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.