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Finding the Fourth Proportional to 76,416.32, 105,454.24 and 42,882.24

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Solution

The fourth proportional to 76,416.32, 105,454.24 and 42,882.24 is: 59,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416.32 : 105,454.24 = 42,882.24 : x
  2. Step 2: Convert to fraction form
    76,416.32/105,454.24 = 42,882.24/x
  3. Step 3: Cross multiply
    76,416.32x = 105,454.24 × 42,882.24
  4. Step 4: Simplify right side
    76,416.32x = 4,522,114,028.70
  5. Step 5: Solve for x
    x = 4,522,114,028.70/76,416.32
  6. Step 6: Final answer
    x = 59,177.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.