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Finding the Fourth Proportional to 163,509.66, 225,551.18 and 102,976.34

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Solution

The fourth proportional to 163,509.66, 225,551.18 and 102,976.34 is: 142,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,509.66 : 225,551.18 = 102,976.34 : x
  2. Step 2: Convert to fraction form
    163,509.66/225,551.18 = 102,976.34/x
  3. Step 3: Cross multiply
    163,509.66x = 225,551.18 × 102,976.34
  4. Step 4: Simplify right side
    163,509.66x = 23,226,434,128.77
  5. Step 5: Solve for x
    x = 23,226,434,128.77/163,509.66
  6. Step 6: Final answer
    x = 142,049.31

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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.