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Finding the Fourth Proportional to 71,509.58, 107,281.71 and 21,586.70

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Solution

The fourth proportional to 71,509.58, 107,281.71 and 21,586.70 is: 32,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.58 : 107,281.71 = 21,586.70 : x
  2. Step 2: Convert to fraction form
    71,509.58/107,281.71 = 21,586.70/x
  3. Step 3: Cross multiply
    71,509.58x = 107,281.71 × 21,586.70
  4. Step 4: Simplify right side
    71,509.58x = 2,315,857,552.85
  5. Step 5: Solve for x
    x = 2,315,857,552.85/71,509.58
  6. Step 6: Final answer
    x = 32,385.28

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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.