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Finding the Fourth Proportional to 212,111, 317,891.32 and 98,215.68

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Solution

The fourth proportional to 212,111, 317,891.32 and 98,215.68 is: 147,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,111 : 317,891.32 = 98,215.68 : x
  2. Step 2: Convert to fraction form
    212,111/317,891.32 = 98,215.68/x
  3. Step 3: Cross multiply
    212,111x = 317,891.32 × 98,215.68
  4. Step 4: Simplify right side
    212,111x = 31,221,912,159.90
  5. Step 5: Solve for x
    x = 31,221,912,159.90/212,111
  6. Step 6: Final answer
    x = 147,196.10

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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.