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Finding the Fourth Proportional to 55,871.76, 77,103.36 and 30,721.44

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Solution

The fourth proportional to 55,871.76, 77,103.36 and 30,721.44 is: 42,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,871.76 : 77,103.36 = 30,721.44 : x
  2. Step 2: Convert to fraction form
    55,871.76/77,103.36 = 30,721.44/x
  3. Step 3: Cross multiply
    55,871.76x = 77,103.36 × 30,721.44
  4. Step 4: Simplify right side
    55,871.76x = 2,368,726,248.04
  5. Step 5: Solve for x
    x = 2,368,726,248.04/55,871.76
  6. Step 6: Final answer
    x = 42,395.77

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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.