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Finding the Fourth Proportional to 165,309.86, 228,128.70 and 93,691.08

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Solution

The fourth proportional to 165,309.86, 228,128.70 and 93,691.08 is: 129,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,309.86 : 228,128.70 = 93,691.08 : x
  2. Step 2: Convert to fraction form
    165,309.86/228,128.70 = 93,691.08/x
  3. Step 3: Cross multiply
    165,309.86x = 228,128.70 × 93,691.08
  4. Step 4: Simplify right side
    165,309.86x = 21,373,624,633.34
  5. Step 5: Solve for x
    x = 21,373,624,633.34/165,309.86
  6. Step 6: Final answer
    x = 129,294.31

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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.