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Finding the Fourth Proportional to 165,709, 228,514.24 and 102,034.40

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Solution

The fourth proportional to 165,709, 228,514.24 and 102,034.40 is: 140,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,709 : 228,514.24 = 102,034.40 : x
  2. Step 2: Convert to fraction form
    165,709/228,514.24 = 102,034.40/x
  3. Step 3: Cross multiply
    165,709x = 228,514.24 × 102,034.40
  4. Step 4: Simplify right side
    165,709x = 23,316,313,369.86
  5. Step 5: Solve for x
    x = 23,316,313,369.86/165,709
  6. Step 6: Final answer
    x = 140,706.38

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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.