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Finding the Fourth Proportional to 100,212.40, 138,226.53 and 64,447.66

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Solution

The fourth proportional to 100,212.40, 138,226.53 and 64,447.66 is: 88,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.40 : 138,226.53 = 64,447.66 : x
  2. Step 2: Convert to fraction form
    100,212.40/138,226.53 = 64,447.66/x
  3. Step 3: Cross multiply
    100,212.40x = 138,226.53 × 64,447.66
  4. Step 4: Simplify right side
    100,212.40x = 8,908,376,408.42
  5. Step 5: Solve for x
    x = 8,908,376,408.42/100,212.40
  6. Step 6: Final answer
    x = 88,894.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.