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Finding the Fourth Proportional to 76,944.61, 106,186.77 and 42,954.98

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Solution

The fourth proportional to 76,944.61, 106,186.77 and 42,954.98 is: 59,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944.61 : 106,186.77 = 42,954.98 : x
  2. Step 2: Convert to fraction form
    76,944.61/106,186.77 = 42,954.98/x
  3. Step 3: Cross multiply
    76,944.61x = 106,186.77 × 42,954.98
  4. Step 4: Simplify right side
    76,944.61x = 4,561,250,366.84
  5. Step 5: Solve for x
    x = 4,561,250,366.84/76,944.61
  6. Step 6: Final answer
    x = 59,279.66

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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.