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Finding the Fourth Proportional to 55,956.92, 77,220.30 and 30,806.40

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Solution

The fourth proportional to 55,956.92, 77,220.30 and 30,806.40 is: 42,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,956.92 : 77,220.30 = 30,806.40 : x
  2. Step 2: Convert to fraction form
    55,956.92/77,220.30 = 30,806.40/x
  3. Step 3: Cross multiply
    55,956.92x = 77,220.30 × 30,806.40
  4. Step 4: Simplify right side
    55,956.92x = 2,378,879,449.92
  5. Step 5: Solve for x
    x = 2,378,879,449.92/55,956.92
  6. Step 6: Final answer
    x = 42,512.69

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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.