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Finding the Fourth Proportional to 135,805.83, 187,410.62 and 75,377.00

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Solution

The fourth proportional to 135,805.83, 187,410.62 and 75,377.00 is: 104,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,805.83 : 187,410.62 = 75,377.00 : x
  2. Step 2: Convert to fraction form
    135,805.83/187,410.62 = 75,377.00/x
  3. Step 3: Cross multiply
    135,805.83x = 187,410.62 × 75,377.00
  4. Step 4: Simplify right side
    135,805.83x = 14,126,448,989.80
  5. Step 5: Solve for x
    x = 14,126,448,989.80/135,805.83
  6. Step 6: Final answer
    x = 104,019.46

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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.