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Finding the Fourth Proportional to 77,806.48, 116,712.06 and 30,419.68

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Solution

The fourth proportional to 77,806.48, 116,712.06 and 30,419.68 is: 45,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.48 : 116,712.06 = 30,419.68 : x
  2. Step 2: Convert to fraction form
    77,806.48/116,712.06 = 30,419.68/x
  3. Step 3: Cross multiply
    77,806.48x = 116,712.06 × 30,419.68
  4. Step 4: Simplify right side
    77,806.48x = 3,550,343,517.34
  5. Step 5: Solve for x
    x = 3,550,343,517.34/77,806.48
  6. Step 6: Final answer
    x = 45,630.43

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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.