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Finding the Fourth Proportional to 212,800.17, 318,984.83 and 137,967.87

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Solution

The fourth proportional to 212,800.17, 318,984.83 and 137,967.87 is: 206,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,800.17 : 318,984.83 = 137,967.87 : x
  2. Step 2: Convert to fraction form
    212,800.17/318,984.83 = 137,967.87/x
  3. Step 3: Cross multiply
    212,800.17x = 318,984.83 × 137,967.87
  4. Step 4: Simplify right side
    212,800.17x = 44,009,656,867.57
  5. Step 5: Solve for x
    x = 44,009,656,867.57/212,800.17
  6. Step 6: Final answer
    x = 206,812.13

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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.