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Finding the Fourth Proportional to 198,187.86, 273,460.95 and 117,686.82

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Solution

The fourth proportional to 198,187.86, 273,460.95 and 117,686.82 is: 162,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,187.86 : 273,460.95 = 117,686.82 : x
  2. Step 2: Convert to fraction form
    198,187.86/273,460.95 = 117,686.82/x
  3. Step 3: Cross multiply
    198,187.86x = 273,460.95 × 117,686.82
  4. Step 4: Simplify right side
    198,187.86x = 32,182,749,599.68
  5. Step 5: Solve for x
    x = 32,182,749,599.68/198,187.86
  6. Step 6: Final answer
    x = 162,385.07

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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.