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Finding the Fourth Proportional to 120,208.52, 165,831.90 and 77,780.72

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Solution

The fourth proportional to 120,208.52, 165,831.90 and 77,780.72 is: 107,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,208.52 : 165,831.90 = 77,780.72 : x
  2. Step 2: Convert to fraction form
    120,208.52/165,831.90 = 77,780.72/x
  3. Step 3: Cross multiply
    120,208.52x = 165,831.90 × 77,780.72
  4. Step 4: Simplify right side
    120,208.52x = 12,898,524,580.97
  5. Step 5: Solve for x
    x = 12,898,524,580.97/120,208.52
  6. Step 6: Final answer
    x = 107,301.25

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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.