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Finding the Fourth Proportional to 101,647.89, 140,287.28 and 61,384.41

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Solution

The fourth proportional to 101,647.89, 140,287.28 and 61,384.41 is: 84,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,647.89 : 140,287.28 = 61,384.41 : x
  2. Step 2: Convert to fraction form
    101,647.89/140,287.28 = 61,384.41/x
  3. Step 3: Cross multiply
    101,647.89x = 140,287.28 × 61,384.41
  4. Step 4: Simplify right side
    101,647.89x = 8,611,451,606.38
  5. Step 5: Solve for x
    x = 8,611,451,606.38/101,647.89
  6. Step 6: Final answer
    x = 84,718.45

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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.