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Finding the Fourth Proportional to 71,038.80, 106,575.75 and 21,118.68

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Solution

The fourth proportional to 71,038.80, 106,575.75 and 21,118.68 is: 31,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038.80 : 106,575.75 = 21,118.68 : x
  2. Step 2: Convert to fraction form
    71,038.80/106,575.75 = 21,118.68/x
  3. Step 3: Cross multiply
    71,038.80x = 106,575.75 × 21,118.68
  4. Step 4: Simplify right side
    71,038.80x = 2,250,739,160.01
  5. Step 5: Solve for x
    x = 2,250,739,160.01/71,038.80
  6. Step 6: Final answer
    x = 31,683.24

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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.