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Finding the Fourth Proportional to 135,968, 187,635.84 and 76,352

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Solution

The fourth proportional to 135,968, 187,635.84 and 76,352 is: 105,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,968 : 187,635.84 = 76,352 : x
  2. Step 2: Convert to fraction form
    135,968/187,635.84 = 76,352/x
  3. Step 3: Cross multiply
    135,968x = 187,635.84 × 76,352
  4. Step 4: Simplify right side
    135,968x = 14,326,371,655.68
  5. Step 5: Solve for x
    x = 14,326,371,655.68/135,968
  6. Step 6: Final answer
    x = 105,365.76

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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.