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Finding the Fourth Proportional to 109,212.29, 150,696.71 and 61,462.79

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Solution

The fourth proportional to 109,212.29, 150,696.71 and 61,462.79 is: 84,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212.29 : 150,696.71 = 61,462.79 : x
  2. Step 2: Convert to fraction form
    109,212.29/150,696.71 = 61,462.79/x
  3. Step 3: Cross multiply
    109,212.29x = 150,696.71 × 61,462.79
  4. Step 4: Simplify right side
    109,212.29x = 9,262,239,933.11
  5. Step 5: Solve for x
    x = 9,262,239,933.11/109,212.29
  6. Step 6: Final answer
    x = 84,809.50

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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.