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Finding the Fourth Proportional to 212,197.71, 318,436.80 and 99,910.05

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Solution

The fourth proportional to 212,197.71, 318,436.80 and 99,910.05 is: 149,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,197.71 : 318,436.80 = 99,910.05 : x
  2. Step 2: Convert to fraction form
    212,197.71/318,436.80 = 99,910.05/x
  3. Step 3: Cross multiply
    212,197.71x = 318,436.80 × 99,910.05
  4. Step 4: Simplify right side
    212,197.71x = 31,815,036,609.84
  5. Step 5: Solve for x
    x = 31,815,036,609.84/212,197.71
  6. Step 6: Final answer
    x = 149,931.10

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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.