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Finding the Fourth Proportional to 105,651.54, 145,803.65 and 63,201.87

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Solution

The fourth proportional to 105,651.54, 145,803.65 and 63,201.87 is: 87,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,651.54 : 145,803.65 = 63,201.87 : x
  2. Step 2: Convert to fraction form
    105,651.54/145,803.65 = 63,201.87/x
  3. Step 3: Cross multiply
    105,651.54x = 145,803.65 × 63,201.87
  4. Step 4: Simplify right side
    105,651.54x = 9,215,063,016.82
  5. Step 5: Solve for x
    x = 9,215,063,016.82/105,651.54
  6. Step 6: Final answer
    x = 87,221.28

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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.