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Finding the Fourth Proportional to 75,928, 104,787.12 and 42,400.48

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Solution

The fourth proportional to 75,928, 104,787.12 and 42,400.48 is: 58,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,928 : 104,787.12 = 42,400.48 : x
  2. Step 2: Convert to fraction form
    75,928/104,787.12 = 42,400.48/x
  3. Step 3: Cross multiply
    75,928x = 104,787.12 × 42,400.48
  4. Step 4: Simplify right side
    75,928x = 4,443,024,185.82
  5. Step 5: Solve for x
    x = 4,443,024,185.82/75,928
  6. Step 6: Final answer
    x = 58,516.28

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1.5x scale

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.