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Finding the Fourth Proportional to 76,429, 105,472.02 and 42,895

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Solution

The fourth proportional to 76,429, 105,472.02 and 42,895 is: 59,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429 : 105,472.02 = 42,895 : x
  2. Step 2: Convert to fraction form
    76,429/105,472.02 = 42,895/x
  3. Step 3: Cross multiply
    76,429x = 105,472.02 × 42,895
  4. Step 4: Simplify right side
    76,429x = 4,524,222,297.90
  5. Step 5: Solve for x
    x = 4,524,222,297.90/76,429
  6. Step 6: Final answer
    x = 59,195.10

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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.