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Finding the Fourth Proportional to 71,129.61, 106,699.86 and 21,205.89

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Solution

The fourth proportional to 71,129.61, 106,699.86 and 21,205.89 is: 31,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,129.61 : 106,699.86 = 21,205.89 : x
  2. Step 2: Convert to fraction form
    71,129.61/106,699.86 = 21,205.89/x
  3. Step 3: Cross multiply
    71,129.61x = 106,699.86 × 21,205.89
  4. Step 4: Simplify right side
    71,129.61x = 2,262,665,494.18
  5. Step 5: Solve for x
    x = 2,262,665,494.18/71,129.61
  6. Step 6: Final answer
    x = 31,810.46

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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.