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Finding the Fourth Proportional to 55,488.64, 83,215.68 and 18,544

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Solution

The fourth proportional to 55,488.64, 83,215.68 and 18,544 is: 27,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,488.64 : 83,215.68 = 18,544 : x
  2. Step 2: Convert to fraction form
    55,488.64/83,215.68 = 18,544/x
  3. Step 3: Cross multiply
    55,488.64x = 83,215.68 × 18,544
  4. Step 4: Simplify right side
    55,488.64x = 1,543,151,569.92
  5. Step 5: Solve for x
    x = 1,543,151,569.92/55,488.64
  6. Step 6: Final answer
    x = 27,810.23

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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.