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Finding the Fourth Proportional to 71,900.10, 107,840.70 and 21,985.20

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Solution

The fourth proportional to 71,900.10, 107,840.70 and 21,985.20 is: 32,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,900.10 : 107,840.70 = 21,985.20 : x
  2. Step 2: Convert to fraction form
    71,900.10/107,840.70 = 21,985.20/x
  3. Step 3: Cross multiply
    71,900.10x = 107,840.70 × 21,985.20
  4. Step 4: Simplify right side
    71,900.10x = 2,370,899,357.64
  5. Step 5: Solve for x
    x = 2,370,899,357.64/71,900.10
  6. Step 6: Final answer
    x = 32,974.91

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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.