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Finding the Fourth Proportional to 71,228.96, 106,846.16 and 21,309.76

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Solution

The fourth proportional to 71,228.96, 106,846.16 and 21,309.76 is: 31,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.96 : 106,846.16 = 21,309.76 : x
  2. Step 2: Convert to fraction form
    71,228.96/106,846.16 = 21,309.76/x
  3. Step 3: Cross multiply
    71,228.96x = 106,846.16 × 21,309.76
  4. Step 4: Simplify right side
    71,228.96x = 2,276,866,026.52
  5. Step 5: Solve for x
    x = 2,276,866,026.52/71,228.96
  6. Step 6: Final answer
    x = 31,965.45

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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.