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Finding the Fourth Proportional to 135,507.66, 187,026.77 and 78,184.00

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Solution

The fourth proportional to 135,507.66, 187,026.77 and 78,184.00 is: 107,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,507.66 : 187,026.77 = 78,184.00 : x
  2. Step 2: Convert to fraction form
    135,507.66/187,026.77 = 78,184.00/x
  3. Step 3: Cross multiply
    135,507.66x = 187,026.77 × 78,184.00
  4. Step 4: Simplify right side
    135,507.66x = 14,622,500,625.90
  5. Step 5: Solve for x
    x = 14,622,500,625.90/135,507.66
  6. Step 6: Final answer
    x = 107,909.03

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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.