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Finding the Fourth Proportional to 77,928, 107,540.64 and 42,600

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Solution

The fourth proportional to 77,928, 107,540.64 and 42,600 is: 58,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,928 : 107,540.64 = 42,600 : x
  2. Step 2: Convert to fraction form
    77,928/107,540.64 = 42,600/x
  3. Step 3: Cross multiply
    77,928x = 107,540.64 × 42,600
  4. Step 4: Simplify right side
    77,928x = 4,581,231,264
  5. Step 5: Solve for x
    x = 4,581,231,264/77,928
  6. Step 6: Final answer
    x = 58,788

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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.