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Finding the Fourth Proportional to 100,453.68, 138,630.42 and 60,174

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Solution

The fourth proportional to 100,453.68, 138,630.42 and 60,174 is: 83,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,453.68 : 138,630.42 = 60,174 : x
  2. Step 2: Convert to fraction form
    100,453.68/138,630.42 = 60,174/x
  3. Step 3: Cross multiply
    100,453.68x = 138,630.42 × 60,174
  4. Step 4: Simplify right side
    100,453.68x = 8,341,946,893.08
  5. Step 5: Solve for x
    x = 8,341,946,893.08/100,453.68
  6. Step 6: Final answer
    x = 83,042.72

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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.