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Finding the Fourth Proportional to 101,638.64, 140,266.53 and 61,351.88

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Solution

The fourth proportional to 101,638.64, 140,266.53 and 61,351.88 is: 84,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,638.64 : 140,266.53 = 61,351.88 : x
  2. Step 2: Convert to fraction form
    101,638.64/140,266.53 = 61,351.88/x
  3. Step 3: Cross multiply
    101,638.64x = 140,266.53 × 61,351.88
  4. Step 4: Simplify right side
    101,638.64x = 8,605,615,316.58
  5. Step 5: Solve for x
    x = 8,605,615,316.58/101,638.64
  6. Step 6: Final answer
    x = 84,668.74

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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.