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Finding the Fourth Proportional to 71,509.11, 107,281.01 and 21,586.22

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Solution

The fourth proportional to 71,509.11, 107,281.01 and 21,586.22 is: 32,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.11 : 107,281.01 = 21,586.22 : x
  2. Step 2: Convert to fraction form
    71,509.11/107,281.01 = 21,586.22/x
  3. Step 3: Cross multiply
    71,509.11x = 107,281.01 × 21,586.22
  4. Step 4: Simplify right side
    71,509.11x = 2,315,791,885.58
  5. Step 5: Solve for x
    x = 2,315,791,885.58/71,509.11
  6. Step 6: Final answer
    x = 32,384.57

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1.5x scale

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.