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Finding the Fourth Proportional to 70,762.17, 106,126.23 and 20,828.70

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Solution

The fourth proportional to 70,762.17, 106,126.23 and 20,828.70 is: 31,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,762.17 : 106,126.23 = 20,828.70 : x
  2. Step 2: Convert to fraction form
    70,762.17/106,126.23 = 20,828.70/x
  3. Step 3: Cross multiply
    70,762.17x = 106,126.23 × 20,828.70
  4. Step 4: Simplify right side
    70,762.17x = 2,210,471,406.80
  5. Step 5: Solve for x
    x = 2,210,471,406.80/70,762.17
  6. Step 6: Final answer
    x = 31,238.04

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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.