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Finding the Fourth Proportional to 212,449.74, 318,871.71 and 107,342.52

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Solution

The fourth proportional to 212,449.74, 318,871.71 and 107,342.52 is: 161,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,449.74 : 318,871.71 = 107,342.52 : x
  2. Step 2: Convert to fraction form
    212,449.74/318,871.71 = 107,342.52/x
  3. Step 3: Cross multiply
    212,449.74x = 318,871.71 × 107,342.52
  4. Step 4: Simplify right side
    212,449.74x = 34,228,492,908.11
  5. Step 5: Solve for x
    x = 34,228,492,908.11/212,449.74
  6. Step 6: Final answer
    x = 161,113.37

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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.