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Finding the Fourth Proportional to 101,814.21, 140,497.25 and 61,504.16

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Solution

The fourth proportional to 101,814.21, 140,497.25 and 61,504.16 is: 84,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,814.21 : 140,497.25 = 61,504.16 : x
  2. Step 2: Convert to fraction form
    101,814.21/140,497.25 = 61,504.16/x
  3. Step 3: Cross multiply
    101,814.21x = 140,497.25 × 61,504.16
  4. Step 4: Simplify right side
    101,814.21x = 8,641,164,333.55
  5. Step 5: Solve for x
    x = 8,641,164,333.55/101,814.21
  6. Step 6: Final answer
    x = 84,871.89

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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.