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Finding the Fourth Proportional to 163,665.81, 225,889.82 and 102,440.39

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Solution

The fourth proportional to 163,665.81, 225,889.82 and 102,440.39 is: 141,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,665.81 : 225,889.82 = 102,440.39 : x
  2. Step 2: Convert to fraction form
    163,665.81/225,889.82 = 102,440.39/x
  3. Step 3: Cross multiply
    163,665.81x = 225,889.82 × 102,440.39
  4. Step 4: Simplify right side
    163,665.81x = 23,140,241,257.83
  5. Step 5: Solve for x
    x = 23,140,241,257.83/163,665.81
  6. Step 6: Final answer
    x = 141,387.14

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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.