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Finding the Fourth Proportional to 100,694.94, 138,962.55 and 55,376.35

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Solution

The fourth proportional to 100,694.94, 138,962.55 and 55,376.35 is: 76,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694.94 : 138,962.55 = 55,376.35 : x
  2. Step 2: Convert to fraction form
    100,694.94/138,962.55 = 55,376.35/x
  3. Step 3: Cross multiply
    100,694.94x = 138,962.55 × 55,376.35
  4. Step 4: Simplify right side
    100,694.94x = 7,695,238,805.69
  5. Step 5: Solve for x
    x = 7,695,238,805.69/100,694.94
  6. Step 6: Final answer
    x = 76,421.31

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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.