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Finding the Fourth Proportional to 100,289.52, 138,319.81 and 85,232.02

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Solution

The fourth proportional to 100,289.52, 138,319.81 and 85,232.02 is: 117,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,289.52 : 138,319.81 = 85,232.02 : x
  2. Step 2: Convert to fraction form
    100,289.52/138,319.81 = 85,232.02/x
  3. Step 3: Cross multiply
    100,289.52x = 138,319.81 × 85,232.02
  4. Step 4: Simplify right side
    100,289.52x = 11,789,276,812.32
  5. Step 5: Solve for x
    x = 11,789,276,812.32/100,289.52
  6. Step 6: Final answer
    x = 117,552.43

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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.