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Finding the Fourth Proportional to 163,586, 225,656.28 and 103,052.72

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Solution

The fourth proportional to 163,586, 225,656.28 and 103,052.72 is: 142,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,586 : 225,656.28 = 103,052.72 : x
  2. Step 2: Convert to fraction form
    163,586/225,656.28 = 103,052.72/x
  3. Step 3: Cross multiply
    163,586x = 225,656.28 × 103,052.72
  4. Step 4: Simplify right side
    163,586x = 23,254,493,439.08
  5. Step 5: Solve for x
    x = 23,254,493,439.08/163,586
  6. Step 6: Final answer
    x = 142,154.55

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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.