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Finding the Fourth Proportional to 165,497.50, 228,390.20 and 90,046

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Solution

The fourth proportional to 165,497.50, 228,390.20 and 90,046 is: 124,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,497.50 : 228,390.20 = 90,046 : x
  2. Step 2: Convert to fraction form
    165,497.50/228,390.20 = 90,046/x
  3. Step 3: Cross multiply
    165,497.50x = 228,390.20 × 90,046
  4. Step 4: Simplify right side
    165,497.50x = 20,565,623,949.20
  5. Step 5: Solve for x
    x = 20,565,623,949.20/165,497.50
  6. Step 6: Final answer
    x = 124,265.47

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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.