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Finding the Fourth Proportional to 92,784, 138,991.68 and 45,893.76

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Solution

The fourth proportional to 92,784, 138,991.68 and 45,893.76 is: 68,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,784 : 138,991.68 = 45,893.76 : x
  2. Step 2: Convert to fraction form
    92,784/138,991.68 = 45,893.76/x
  3. Step 3: Cross multiply
    92,784x = 138,991.68 × 45,893.76
  4. Step 4: Simplify right side
    92,784x = 6,378,850,803.92
  5. Step 5: Solve for x
    x = 6,378,850,803.92/92,784
  6. Step 6: Final answer
    x = 68,749.47

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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.