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Finding the Fourth Proportional to 78,094.41, 107,689.74 and 66,801.29

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Solution

The fourth proportional to 78,094.41, 107,689.74 and 66,801.29 is: 92,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,094.41 : 107,689.74 = 66,801.29 : x
  2. Step 2: Convert to fraction form
    78,094.41/107,689.74 = 66,801.29/x
  3. Step 3: Cross multiply
    78,094.41x = 107,689.74 × 66,801.29
  4. Step 4: Simplify right side
    78,094.41x = 7,193,813,820.99
  5. Step 5: Solve for x
    x = 7,193,813,820.99/78,094.41
  6. Step 6: Final answer
    x = 92,116.89

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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.