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Finding the Fourth Proportional to 212,044.96, 317,792.22 and 98,149.78

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Solution

The fourth proportional to 212,044.96, 317,792.22 and 98,149.78 is: 147,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,044.96 : 317,792.22 = 98,149.78 : x
  2. Step 2: Convert to fraction form
    212,044.96/317,792.22 = 98,149.78/x
  3. Step 3: Cross multiply
    212,044.96x = 317,792.22 × 98,149.78
  4. Step 4: Simplify right side
    212,044.96x = 31,191,236,478.71
  5. Step 5: Solve for x
    x = 31,191,236,478.71/212,044.96
  6. Step 6: Final answer
    x = 147,097.28

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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.