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Finding the Fourth Proportional to 135,598.64, 187,087.44 and 78,233.42

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Solution

The fourth proportional to 135,598.64, 187,087.44 and 78,233.42 is: 107,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,598.64 : 187,087.44 = 78,233.42 : x
  2. Step 2: Convert to fraction form
    135,598.64/187,087.44 = 78,233.42/x
  3. Step 3: Cross multiply
    135,598.64x = 187,087.44 × 78,233.42
  4. Step 4: Simplify right side
    135,598.64x = 14,636,490,270.24
  5. Step 5: Solve for x
    x = 14,636,490,270.24/135,598.64
  6. Step 6: Final answer
    x = 107,939.80

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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.