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Finding the Fourth Proportional to 85,708.52, 118,288.32 and 51,736.50

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Solution

The fourth proportional to 85,708.52, 118,288.32 and 51,736.50 is: 71,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,708.52 : 118,288.32 = 51,736.50 : x
  2. Step 2: Convert to fraction form
    85,708.52/118,288.32 = 51,736.50/x
  3. Step 3: Cross multiply
    85,708.52x = 118,288.32 × 51,736.50
  4. Step 4: Simplify right side
    85,708.52x = 6,119,823,667.68
  5. Step 5: Solve for x
    x = 6,119,823,667.68/85,708.52
  6. Step 6: Final answer
    x = 71,402.75

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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.