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Finding the Fourth Proportional to 165,560, 228,472.80 and 90,109.04

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Solution

The fourth proportional to 165,560, 228,472.80 and 90,109.04 is: 124,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,560 : 228,472.80 = 90,109.04 : x
  2. Step 2: Convert to fraction form
    165,560/228,472.80 = 90,109.04/x
  3. Step 3: Cross multiply
    165,560x = 228,472.80 × 90,109.04
  4. Step 4: Simplify right side
    165,560x = 20,587,464,674.11
  5. Step 5: Solve for x
    x = 20,587,464,674.11/165,560
  6. Step 6: Final answer
    x = 124,350.48

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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.