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Finding the Fourth Proportional to 78,436.61, 117,654.74 and 22,277.25

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Solution

The fourth proportional to 78,436.61, 117,654.74 and 22,277.25 is: 33,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,436.61 : 117,654.74 = 22,277.25 : x
  2. Step 2: Convert to fraction form
    78,436.61/117,654.74 = 22,277.25/x
  3. Step 3: Cross multiply
    78,436.61x = 117,654.74 × 22,277.25
  4. Step 4: Simplify right side
    78,436.61x = 2,621,024,056.67
  5. Step 5: Solve for x
    x = 2,621,024,056.67/78,436.61
  6. Step 6: Final answer
    x = 33,415.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.