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Finding the Fourth Proportional to 78,134.63, 117,264.78 and 40,705.88

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Solution

The fourth proportional to 78,134.63, 117,264.78 and 40,705.88 is: 61,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.63 : 117,264.78 = 40,705.88 : x
  2. Step 2: Convert to fraction form
    78,134.63/117,264.78 = 40,705.88/x
  3. Step 3: Cross multiply
    78,134.63x = 117,264.78 × 40,705.88
  4. Step 4: Simplify right side
    78,134.63x = 4,773,365,476.58
  5. Step 5: Solve for x
    x = 4,773,365,476.58/78,134.63
  6. Step 6: Final answer
    x = 61,091.55

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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.