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Finding the Fourth Proportional to 163,403.76, 225,513.72 and 99,778.80

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Solution

The fourth proportional to 163,403.76, 225,513.72 and 99,778.80 is: 137,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,403.76 : 225,513.72 = 99,778.80 : x
  2. Step 2: Convert to fraction form
    163,403.76/225,513.72 = 99,778.80/x
  3. Step 3: Cross multiply
    163,403.76x = 225,513.72 × 99,778.80
  4. Step 4: Simplify right side
    163,403.76x = 22,501,488,365.14
  5. Step 5: Solve for x
    x = 22,501,488,365.14/163,403.76
  6. Step 6: Final answer
    x = 137,704.84

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1.5x scale

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.