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Finding the Fourth Proportional to 100,653.14, 138,904.43 and 55,334.58

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Solution

The fourth proportional to 100,653.14, 138,904.43 and 55,334.58 is: 76,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,653.14 : 138,904.43 = 55,334.58 : x
  2. Step 2: Convert to fraction form
    100,653.14/138,904.43 = 55,334.58/x
  3. Step 3: Cross multiply
    100,653.14x = 138,904.43 × 55,334.58
  4. Step 4: Simplify right side
    100,653.14x = 7,686,218,017.52
  5. Step 5: Solve for x
    x = 7,686,218,017.52/100,653.14
  6. Step 6: Final answer
    x = 76,363.42

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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.