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Finding the Fourth Proportional to 71,292.18, 106,904.67 and 21,352.98

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Solution

The fourth proportional to 71,292.18, 106,904.67 and 21,352.98 is: 32,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,292.18 : 106,904.67 = 21,352.98 : x
  2. Step 2: Convert to fraction form
    71,292.18/106,904.67 = 21,352.98/x
  3. Step 3: Cross multiply
    71,292.18x = 106,904.67 × 21,352.98
  4. Step 4: Simplify right side
    71,292.18x = 2,282,733,280.42
  5. Step 5: Solve for x
    x = 2,282,733,280.42/71,292.18
  6. Step 6: Final answer
    x = 32,019.41

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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.