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Finding the Fourth Proportional to 68,114.66, 102,157.79 and 25,985.29

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Solution

The fourth proportional to 68,114.66, 102,157.79 and 25,985.29 is: 38,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.66 : 102,157.79 = 25,985.29 : x
  2. Step 2: Convert to fraction form
    68,114.66/102,157.79 = 25,985.29/x
  3. Step 3: Cross multiply
    68,114.66x = 102,157.79 × 25,985.29
  4. Step 4: Simplify right side
    68,114.66x = 2,654,599,798.91
  5. Step 5: Solve for x
    x = 2,654,599,798.91/68,114.66
  6. Step 6: Final answer
    x = 38,972.52

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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.