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Finding the Fourth Proportional to 135,663, 187,214.94 and 76,047

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Solution

The fourth proportional to 135,663, 187,214.94 and 76,047 is: 104,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,663 : 187,214.94 = 76,047 : x
  2. Step 2: Convert to fraction form
    135,663/187,214.94 = 76,047/x
  3. Step 3: Cross multiply
    135,663x = 187,214.94 × 76,047
  4. Step 4: Simplify right side
    135,663x = 14,237,134,542.18
  5. Step 5: Solve for x
    x = 14,237,134,542.18/135,663
  6. Step 6: Final answer
    x = 104,944.86

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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.