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Finding the Fourth Proportional to 163,730.02, 225,978.38 and 102,504.69

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Solution

The fourth proportional to 163,730.02, 225,978.38 and 102,504.69 is: 141,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,730.02 : 225,978.38 = 102,504.69 : x
  2. Step 2: Convert to fraction form
    163,730.02/225,978.38 = 102,504.69/x
  3. Step 3: Cross multiply
    163,730.02x = 225,978.38 × 102,504.69
  4. Step 4: Simplify right side
    163,730.02x = 23,163,843,788.60
  5. Step 5: Solve for x
    x = 23,163,843,788.60/163,730.02
  6. Step 6: Final answer
    x = 141,475.85

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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.