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Finding the Fourth Proportional to 165,421.92, 228,284.64 and 89,970.64

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Solution

The fourth proportional to 165,421.92, 228,284.64 and 89,970.64 is: 124,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,421.92 : 228,284.64 = 89,970.64 : x
  2. Step 2: Convert to fraction form
    165,421.92/228,284.64 = 89,970.64/x
  3. Step 3: Cross multiply
    165,421.92x = 228,284.64 × 89,970.64
  4. Step 4: Simplify right side
    165,421.92x = 20,538,915,162.97
  5. Step 5: Solve for x
    x = 20,538,915,162.97/165,421.92
  6. Step 6: Final answer
    x = 124,160.78

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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.