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Finding the Fourth Proportional to 165,736, 228,715.72 and 90,284.48

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Solution

The fourth proportional to 165,736, 228,715.72 and 90,284.48 is: 124,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,736 : 228,715.72 = 90,284.48 : x
  2. Step 2: Convert to fraction form
    165,736/228,715.72 = 90,284.48/x
  3. Step 3: Cross multiply
    165,736x = 228,715.72 × 90,284.48
  4. Step 4: Simplify right side
    165,736x = 20,649,479,848.03
  5. Step 5: Solve for x
    x = 20,649,479,848.03/165,736
  6. Step 6: Final answer
    x = 124,592.60

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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.