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Finding the Fourth Proportional to 70,808.14, 106,175.64 and 20,881.89

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Solution

The fourth proportional to 70,808.14, 106,175.64 and 20,881.89 is: 31,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,808.14 : 106,175.64 = 20,881.89 : x
  2. Step 2: Convert to fraction form
    70,808.14/106,175.64 = 20,881.89/x
  3. Step 3: Cross multiply
    70,808.14x = 106,175.64 × 20,881.89
  4. Step 4: Simplify right side
    70,808.14x = 2,217,148,113.47
  5. Step 5: Solve for x
    x = 2,217,148,113.47/70,808.14
  6. Step 6: Final answer
    x = 31,312.05

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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.