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Finding the Fourth Proportional to 163,385.70, 225,406.14 and 102,849.54

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Solution

The fourth proportional to 163,385.70, 225,406.14 and 102,849.54 is: 141,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,385.70 : 225,406.14 = 102,849.54 : x
  2. Step 2: Convert to fraction form
    163,385.70/225,406.14 = 102,849.54/x
  3. Step 3: Cross multiply
    163,385.70x = 225,406.14 × 102,849.54
  4. Step 4: Simplify right side
    163,385.70x = 23,182,917,812.18
  5. Step 5: Solve for x
    x = 23,182,917,812.18/163,385.70
  6. Step 6: Final answer
    x = 141,890.74

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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.