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Finding the Fourth Proportional to 135,678.84, 187,239 and 75,252

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Solution

The fourth proportional to 135,678.84, 187,239 and 75,252 is: 103,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,678.84 : 187,239 = 75,252 : x
  2. Step 2: Convert to fraction form
    135,678.84/187,239 = 75,252/x
  3. Step 3: Cross multiply
    135,678.84x = 187,239 × 75,252
  4. Step 4: Simplify right side
    135,678.84x = 14,090,109,228
  5. Step 5: Solve for x
    x = 14,090,109,228/135,678.84
  6. Step 6: Final answer
    x = 103,848.98

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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.