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Finding the Fourth Proportional to 137,592.84, 189,867.06 and 76,341

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Solution

The fourth proportional to 137,592.84, 189,867.06 and 76,341 is: 105,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,592.84 : 189,867.06 = 76,341 : x
  2. Step 2: Convert to fraction form
    137,592.84/189,867.06 = 76,341/x
  3. Step 3: Cross multiply
    137,592.84x = 189,867.06 × 76,341
  4. Step 4: Simplify right side
    137,592.84x = 14,494,641,227.46
  5. Step 5: Solve for x
    x = 14,494,641,227.46/137,592.84
  6. Step 6: Final answer
    x = 105,344.44

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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.