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Finding the Fourth Proportional to 165,520, 228,418.14 and 90,068.56

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Solution

The fourth proportional to 165,520, 228,418.14 and 90,068.56 is: 124,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,520 : 228,418.14 = 90,068.56 : x
  2. Step 2: Convert to fraction form
    165,520/228,418.14 = 90,068.56/x
  3. Step 3: Cross multiply
    165,520x = 228,418.14 × 90,068.56
  4. Step 4: Simplify right side
    165,520x = 20,573,292,947.68
  5. Step 5: Solve for x
    x = 20,573,292,947.68/165,520
  6. Step 6: Final answer
    x = 124,294.91

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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.