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Finding the Fourth Proportional to 212,114.91, 317,742.71 and 98,100.75

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Solution

The fourth proportional to 212,114.91, 317,742.71 and 98,100.75 is: 146,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,114.91 : 317,742.71 = 98,100.75 : x
  2. Step 2: Convert to fraction form
    212,114.91/317,742.71 = 98,100.75/x
  3. Step 3: Cross multiply
    212,114.91x = 317,742.71 × 98,100.75
  4. Step 4: Simplify right side
    212,114.91x = 31,170,797,667.53
  5. Step 5: Solve for x
    x = 31,170,797,667.53/212,114.91
  6. Step 6: Final answer
    x = 146,952.41

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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.