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Finding the Fourth Proportional to 138,274.96, 190,762.68 and 102,552.88

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Solution

The fourth proportional to 138,274.96, 190,762.68 and 102,552.88 is: 141,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,274.96 : 190,762.68 = 102,552.88 : x
  2. Step 2: Convert to fraction form
    138,274.96/190,762.68 = 102,552.88/x
  3. Step 3: Cross multiply
    138,274.96x = 190,762.68 × 102,552.88
  4. Step 4: Simplify right side
    138,274.96x = 19,563,262,230.52
  5. Step 5: Solve for x
    x = 19,563,262,230.52/138,274.96
  6. Step 6: Final answer
    x = 141,480.87

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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.