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Finding the Fourth Proportional to 100,464.86, 138,641.22 and 55,142.02

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Solution

The fourth proportional to 100,464.86, 138,641.22 and 55,142.02 is: 76,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464.86 : 138,641.22 = 55,142.02 : x
  2. Step 2: Convert to fraction form
    100,464.86/138,641.22 = 55,142.02/x
  3. Step 3: Cross multiply
    100,464.86x = 138,641.22 × 55,142.02
  4. Step 4: Simplify right side
    100,464.86x = 7,644,956,319.51
  5. Step 5: Solve for x
    x = 7,644,956,319.51/100,464.86
  6. Step 6: Final answer
    x = 76,095.83

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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.