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Finding the Fourth Proportional to 78,201.86, 107,917.94 and 42,390.95

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Solution

The fourth proportional to 78,201.86, 107,917.94 and 42,390.95 is: 58,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.86 : 107,917.94 = 42,390.95 : x
  2. Step 2: Convert to fraction form
    78,201.86/107,917.94 = 42,390.95/x
  3. Step 3: Cross multiply
    78,201.86x = 107,917.94 × 42,390.95
  4. Step 4: Simplify right side
    78,201.86x = 4,574,743,565.03
  5. Step 5: Solve for x
    x = 4,574,743,565.03/78,201.86
  6. Step 6: Final answer
    x = 58,499.17

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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.