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Finding the Fourth Proportional to 84,681.68, 127,022.57 and 21,506.54

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Solution

The fourth proportional to 84,681.68, 127,022.57 and 21,506.54 is: 32,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,681.68 : 127,022.57 = 21,506.54 : x
  2. Step 2: Convert to fraction form
    84,681.68/127,022.57 = 21,506.54/x
  3. Step 3: Cross multiply
    84,681.68x = 127,022.57 × 21,506.54
  4. Step 4: Simplify right side
    84,681.68x = 2,731,815,401.26
  5. Step 5: Solve for x
    x = 2,731,815,401.26/84,681.68
  6. Step 6: Final answer
    x = 32,259.82

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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.