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Finding the Fourth Proportional to 134,642.86, 185,799.93 and 74,201.47

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Solution

The fourth proportional to 134,642.86, 185,799.93 and 74,201.47 is: 102,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,642.86 : 185,799.93 = 74,201.47 : x
  2. Step 2: Convert to fraction form
    134,642.86/185,799.93 = 74,201.47/x
  3. Step 3: Cross multiply
    134,642.86x = 185,799.93 × 74,201.47
  4. Step 4: Simplify right side
    134,642.86x = 13,786,627,189.14
  5. Step 5: Solve for x
    x = 13,786,627,189.14/134,642.86
  6. Step 6: Final answer
    x = 102,394.05

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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.