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Finding the Fourth Proportional to 187,380, 281,108.88 and 76,572

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Solution

The fourth proportional to 187,380, 281,108.88 and 76,572 is: 114,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,380 : 281,108.88 = 76,572 : x
  2. Step 2: Convert to fraction form
    187,380/281,108.88 = 76,572/x
  3. Step 3: Cross multiply
    187,380x = 281,108.88 × 76,572
  4. Step 4: Simplify right side
    187,380x = 21,525,069,159.36
  5. Step 5: Solve for x
    x = 21,525,069,159.36/187,380
  6. Step 6: Final answer
    x = 114,873.89

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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.