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Finding the Fourth Proportional to 165,838.80, 228,856.68 and 90,386.64

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Solution

The fourth proportional to 165,838.80, 228,856.68 and 90,386.64 is: 124,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,838.80 : 228,856.68 = 90,386.64 : x
  2. Step 2: Convert to fraction form
    165,838.80/228,856.68 = 90,386.64/x
  3. Step 3: Cross multiply
    165,838.80x = 228,856.68 × 90,386.64
  4. Step 4: Simplify right side
    165,838.80x = 20,685,586,346.76
  5. Step 5: Solve for x
    x = 20,685,586,346.76/165,838.80
  6. Step 6: Final answer
    x = 124,733.09

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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.