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Finding the Fourth Proportional to 138,602.28, 208,184.70 and 122,330.28

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Solution

The fourth proportional to 138,602.28, 208,184.70 and 122,330.28 is: 183,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.28 : 208,184.70 = 122,330.28 : x
  2. Step 2: Convert to fraction form
    138,602.28/208,184.70 = 122,330.28/x
  3. Step 3: Cross multiply
    138,602.28x = 208,184.70 × 122,330.28
  4. Step 4: Simplify right side
    138,602.28x = 25,467,292,642.72
  5. Step 5: Solve for x
    x = 25,467,292,642.72/138,602.28
  6. Step 6: Final answer
    x = 183,743.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.