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Finding the Fourth Proportional to 75,859.78, 104,686.46 and 42,325.78

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Solution

The fourth proportional to 75,859.78, 104,686.46 and 42,325.78 is: 58,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859.78 : 104,686.46 = 42,325.78 : x
  2. Step 2: Convert to fraction form
    75,859.78/104,686.46 = 42,325.78/x
  3. Step 3: Cross multiply
    75,859.78x = 104,686.46 × 42,325.78
  4. Step 4: Simplify right side
    75,859.78x = 4,430,936,074.94
  5. Step 5: Solve for x
    x = 4,430,936,074.94/75,859.78
  6. Step 6: Final answer
    x = 58,409.56

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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.