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Finding the Fourth Proportional to 100,491.60, 138,630.48 and 60,186

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Solution

The fourth proportional to 100,491.60, 138,630.48 and 60,186 is: 83,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,491.60 : 138,630.48 = 60,186 : x
  2. Step 2: Convert to fraction form
    100,491.60/138,630.48 = 60,186/x
  3. Step 3: Cross multiply
    100,491.60x = 138,630.48 × 60,186
  4. Step 4: Simplify right side
    100,491.60x = 8,343,614,069.28
  5. Step 5: Solve for x
    x = 8,343,614,069.28/100,491.60
  6. Step 6: Final answer
    x = 83,027.98

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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.