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Finding the Fourth Proportional to 120,203.52, 165,825 and 77,775.72

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Solution

The fourth proportional to 120,203.52, 165,825 and 77,775.72 is: 107,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,203.52 : 165,825 = 77,775.72 : x
  2. Step 2: Convert to fraction form
    120,203.52/165,825 = 77,775.72/x
  3. Step 3: Cross multiply
    120,203.52x = 165,825 × 77,775.72
  4. Step 4: Simplify right side
    120,203.52x = 12,897,158,769
  5. Step 5: Solve for x
    x = 12,897,158,769/120,203.52
  6. Step 6: Final answer
    x = 107,294.35

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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.