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Finding the Fourth Proportional to 76,563.40, 105,663.12 and 42,578

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Solution

The fourth proportional to 76,563.40, 105,663.12 and 42,578 is: 58,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.40 : 105,663.12 = 42,578 : x
  2. Step 2: Convert to fraction form
    76,563.40/105,663.12 = 42,578/x
  3. Step 3: Cross multiply
    76,563.40x = 105,663.12 × 42,578
  4. Step 4: Simplify right side
    76,563.40x = 4,498,924,323.36
  5. Step 5: Solve for x
    x = 4,498,924,323.36/76,563.40
  6. Step 6: Final answer
    x = 58,760.77

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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.