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Finding the Fourth Proportional to 109,678.61, 164,268.22 and 85,837.47

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Solution

The fourth proportional to 109,678.61, 164,268.22 and 85,837.47 is: 128,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,678.61 : 164,268.22 = 85,837.47 : x
  2. Step 2: Convert to fraction form
    109,678.61/164,268.22 = 85,837.47/x
  3. Step 3: Cross multiply
    109,678.61x = 164,268.22 × 85,837.47
  4. Step 4: Simplify right side
    109,678.61x = 14,100,368,406.20
  5. Step 5: Solve for x
    x = 14,100,368,406.20/109,678.61
  6. Step 6: Final answer
    x = 128,560.79

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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.