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Finding the Fourth Proportional to 165,580, 228,500.40 and 90,129.04

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Solution

The fourth proportional to 165,580, 228,500.40 and 90,129.04 is: 124,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,580 : 228,500.40 = 90,129.04 : x
  2. Step 2: Convert to fraction form
    165,580/228,500.40 = 90,129.04/x
  3. Step 3: Cross multiply
    165,580x = 228,500.40 × 90,129.04
  4. Step 4: Simplify right side
    165,580x = 20,594,521,691.62
  5. Step 5: Solve for x
    x = 20,594,521,691.62/165,580
  6. Step 6: Final answer
    x = 124,378.08

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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.