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Finding the Fourth Proportional to 55,881.76, 83,818.80 and 20,805.28

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Solution

The fourth proportional to 55,881.76, 83,818.80 and 20,805.28 is: 31,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,881.76 : 83,818.80 = 20,805.28 : x
  2. Step 2: Convert to fraction form
    55,881.76/83,818.80 = 20,805.28/x
  3. Step 3: Cross multiply
    55,881.76x = 83,818.80 × 20,805.28
  4. Step 4: Simplify right side
    55,881.76x = 1,743,873,603.26
  5. Step 5: Solve for x
    x = 1,743,873,603.26/55,881.76
  6. Step 6: Final answer
    x = 31,206.49

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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.