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Finding the Fourth Proportional to 78,563.88, 108,416.64 and 42,754.68

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Solution

The fourth proportional to 78,563.88, 108,416.64 and 42,754.68 is: 59,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563.88 : 108,416.64 = 42,754.68 : x
  2. Step 2: Convert to fraction form
    78,563.88/108,416.64 = 42,754.68/x
  3. Step 3: Cross multiply
    78,563.88x = 108,416.64 × 42,754.68
  4. Step 4: Simplify right side
    78,563.88x = 4,635,318,749.88
  5. Step 5: Solve for x
    x = 4,635,318,749.88/78,563.88
  6. Step 6: Final answer
    x = 59,000.63

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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.