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Finding the Fourth Proportional to 212,219.43, 318,419.17 and 99,897.17

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Solution

The fourth proportional to 212,219.43, 318,419.17 and 99,897.17 is: 149,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,219.43 : 318,419.17 = 99,897.17 : x
  2. Step 2: Convert to fraction form
    212,219.43/318,419.17 = 99,897.17/x
  3. Step 3: Cross multiply
    212,219.43x = 318,419.17 × 99,897.17
  4. Step 4: Simplify right side
    212,219.43x = 31,809,171,865.17
  5. Step 5: Solve for x
    x = 31,809,171,865.17/212,219.43
  6. Step 6: Final answer
    x = 149,888.13

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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.