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Finding the Fourth Proportional to 163,730.02, 225,978.38 and 102,504.68

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Solution

The fourth proportional to 163,730.02, 225,978.38 and 102,504.68 is: 141,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,730.02 : 225,978.38 = 102,504.68 : x
  2. Step 2: Convert to fraction form
    163,730.02/225,978.38 = 102,504.68/x
  3. Step 3: Cross multiply
    163,730.02x = 225,978.38 × 102,504.68
  4. Step 4: Simplify right side
    163,730.02x = 23,163,841,528.82
  5. Step 5: Solve for x
    x = 23,163,841,528.82/163,730.02
  6. Step 6: Final answer
    x = 141,475.84

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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.