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Finding the Fourth Proportional to 163,415.16, 225,537.30 and 99,789.84

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Solution

The fourth proportional to 163,415.16, 225,537.30 and 99,789.84 is: 137,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,415.16 : 225,537.30 = 99,789.84 : x
  2. Step 2: Convert to fraction form
    163,415.16/225,537.30 = 99,789.84/x
  3. Step 3: Cross multiply
    163,415.16x = 225,537.30 × 99,789.84
  4. Step 4: Simplify right side
    163,415.16x = 22,506,331,081.03
  5. Step 5: Solve for x
    x = 22,506,331,081.03/163,415.16
  6. Step 6: Final answer
    x = 137,724.87

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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.