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Finding the Fourth Proportional to 154,802, 213,646.92 and 91,145.68

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Solution

The fourth proportional to 154,802, 213,646.92 and 91,145.68 is: 125,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,802 : 213,646.92 = 91,145.68 : x
  2. Step 2: Convert to fraction form
    154,802/213,646.92 = 91,145.68/x
  3. Step 3: Cross multiply
    154,802x = 213,646.92 × 91,145.68
  4. Step 4: Simplify right side
    154,802x = 19,472,993,803.31
  5. Step 5: Solve for x
    x = 19,472,993,803.31/154,802
  6. Step 6: Final answer
    x = 125,792.91

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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.