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Finding the Fourth Proportional to 187,398, 281,097.27 and 76,590

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Solution

The fourth proportional to 187,398, 281,097.27 and 76,590 is: 114,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,398 : 281,097.27 = 76,590 : x
  2. Step 2: Convert to fraction form
    187,398/281,097.27 = 76,590/x
  3. Step 3: Cross multiply
    187,398x = 281,097.27 × 76,590
  4. Step 4: Simplify right side
    187,398x = 21,529,239,909.30
  5. Step 5: Solve for x
    x = 21,529,239,909.30/187,398
  6. Step 6: Final answer
    x = 114,885.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.