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Finding the Fourth Proportional to 55,407.21, 83,110.81 and 13,854.21

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Solution

The fourth proportional to 55,407.21, 83,110.81 and 13,854.21 is: 20,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,407.21 : 83,110.81 = 13,854.21 : x
  2. Step 2: Convert to fraction form
    55,407.21/83,110.81 = 13,854.21/x
  3. Step 3: Cross multiply
    55,407.21x = 83,110.81 × 13,854.21
  4. Step 4: Simplify right side
    55,407.21x = 1,151,434,199.46
  5. Step 5: Solve for x
    x = 1,151,434,199.46/55,407.21
  6. Step 6: Final answer
    x = 20,781.31

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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.