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Finding the Fourth Proportional to 77,961.94, 107,587.44 and 42,151.94

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Solution

The fourth proportional to 77,961.94, 107,587.44 and 42,151.94 is: 58,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,961.94 : 107,587.44 = 42,151.94 : x
  2. Step 2: Convert to fraction form
    77,961.94/107,587.44 = 42,151.94/x
  3. Step 3: Cross multiply
    77,961.94x = 107,587.44 × 42,151.94
  4. Step 4: Simplify right side
    77,961.94x = 4,535,019,315.63
  5. Step 5: Solve for x
    x = 4,535,019,315.63/77,961.94
  6. Step 6: Final answer
    x = 58,169.66

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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.