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Finding the Fourth Proportional to 78,376.54, 108,159.60 and 42,566.56

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Solution

The fourth proportional to 78,376.54, 108,159.60 and 42,566.56 is: 58,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376.54 : 108,159.60 = 42,566.56 : x
  2. Step 2: Convert to fraction form
    78,376.54/108,159.60 = 42,566.56/x
  3. Step 3: Cross multiply
    78,376.54x = 108,159.60 × 42,566.56
  4. Step 4: Simplify right side
    78,376.54x = 4,603,982,102.98
  5. Step 5: Solve for x
    x = 4,603,982,102.98/78,376.54
  6. Step 6: Final answer
    x = 58,741.84

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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.