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Finding the Fourth Proportional to 165,527.50, 228,427.95 and 90,076

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Solution

The fourth proportional to 165,527.50, 228,427.95 and 90,076 is: 124,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,527.50 : 228,427.95 = 90,076 : x
  2. Step 2: Convert to fraction form
    165,527.50/228,427.95 = 90,076/x
  3. Step 3: Cross multiply
    165,527.50x = 228,427.95 × 90,076
  4. Step 4: Simplify right side
    165,527.50x = 20,575,876,024.20
  5. Step 5: Solve for x
    x = 20,575,876,024.20/165,527.50
  6. Step 6: Final answer
    x = 124,304.88

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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.