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Finding the Fourth Proportional to 55,806.68, 77,012.88 and 30,656

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Solution

The fourth proportional to 55,806.68, 77,012.88 and 30,656 is: 42,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806.68 : 77,012.88 = 30,656 : x
  2. Step 2: Convert to fraction form
    55,806.68/77,012.88 = 30,656/x
  3. Step 3: Cross multiply
    55,806.68x = 77,012.88 × 30,656
  4. Step 4: Simplify right side
    55,806.68x = 2,360,906,849.28
  5. Step 5: Solve for x
    x = 2,360,906,849.28/55,806.68
  6. Step 6: Final answer
    x = 42,305.09

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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.