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Finding the Fourth Proportional to 165,585.50, 228,508.02 and 90,134

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Solution

The fourth proportional to 165,585.50, 228,508.02 and 90,134 is: 124,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,585.50 : 228,508.02 = 90,134 : x
  2. Step 2: Convert to fraction form
    165,585.50/228,508.02 = 90,134/x
  3. Step 3: Cross multiply
    165,585.50x = 228,508.02 × 90,134
  4. Step 4: Simplify right side
    165,585.50x = 20,596,341,874.68
  5. Step 5: Solve for x
    x = 20,596,341,874.68/165,585.50
  6. Step 6: Final answer
    x = 124,384.94

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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.