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Finding the Fourth Proportional to 76,296.78, 105,287.67 and 42,305.40

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Solution

The fourth proportional to 76,296.78, 105,287.67 and 42,305.40 is: 58,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296.78 : 105,287.67 = 42,305.40 : x
  2. Step 2: Convert to fraction form
    76,296.78/105,287.67 = 42,305.40/x
  3. Step 3: Cross multiply
    76,296.78x = 105,287.67 × 42,305.40
  4. Step 4: Simplify right side
    76,296.78x = 4,454,236,994.42
  5. Step 5: Solve for x
    x = 4,454,236,994.42/76,296.78
  6. Step 6: Final answer
    x = 58,380.41

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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.