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Finding the Fourth Proportional to 55,752.96, 83,640.96 and 18,816

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Solution

The fourth proportional to 55,752.96, 83,640.96 and 18,816 is: 28,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,752.96 : 83,640.96 = 18,816 : x
  2. Step 2: Convert to fraction form
    55,752.96/83,640.96 = 18,816/x
  3. Step 3: Cross multiply
    55,752.96x = 83,640.96 × 18,816
  4. Step 4: Simplify right side
    55,752.96x = 1,573,788,303.36
  5. Step 5: Solve for x
    x = 1,573,788,303.36/55,752.96
  6. Step 6: Final answer
    x = 28,227.89

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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.