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Finding the Fourth Proportional to 71,130.50, 106,701.18 and 21,206.78

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Solution

The fourth proportional to 71,130.50, 106,701.18 and 21,206.78 is: 31,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.50 : 106,701.18 = 21,206.78 : x
  2. Step 2: Convert to fraction form
    71,130.50/106,701.18 = 21,206.78/x
  3. Step 3: Cross multiply
    71,130.50x = 106,701.18 × 21,206.78
  4. Step 4: Simplify right side
    71,130.50x = 2,262,788,450.00
  5. Step 5: Solve for x
    x = 2,262,788,450.00/71,130.50
  6. Step 6: Final answer
    x = 31,811.79

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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.