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Finding the Fourth Proportional to 102,165.66, 140,986.40 and 59,146.97

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Solution

The fourth proportional to 102,165.66, 140,986.40 and 59,146.97 is: 81,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.66 : 140,986.40 = 59,146.97 : x
  2. Step 2: Convert to fraction form
    102,165.66/140,986.40 = 59,146.97/x
  3. Step 3: Cross multiply
    102,165.66x = 140,986.40 × 59,146.97
  4. Step 4: Simplify right side
    102,165.66x = 8,338,918,575.81
  5. Step 5: Solve for x
    x = 8,338,918,575.81/102,165.66
  6. Step 6: Final answer
    x = 81,621.54

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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.