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Finding the Fourth Proportional to 120,078.36, 180,126.54 and 35,831.88

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Solution

The fourth proportional to 120,078.36, 180,126.54 and 35,831.88 is: 53,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.36 : 180,126.54 = 35,831.88 : x
  2. Step 2: Convert to fraction form
    120,078.36/180,126.54 = 35,831.88/x
  3. Step 3: Cross multiply
    120,078.36x = 180,126.54 × 35,831.88
  4. Step 4: Simplify right side
    120,078.36x = 6,454,272,566.10
  5. Step 5: Solve for x
    x = 6,454,272,566.10/120,078.36
  6. Step 6: Final answer
    x = 53,750.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.