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Finding the Fourth Proportional to 180,248.82, 270,388.65 and 47,128.86

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Solution

The fourth proportional to 180,248.82, 270,388.65 and 47,128.86 is: 70,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,248.82 : 270,388.65 = 47,128.86 : x
  2. Step 2: Convert to fraction form
    180,248.82/270,388.65 = 47,128.86/x
  3. Step 3: Cross multiply
    180,248.82x = 270,388.65 × 47,128.86
  4. Step 4: Simplify right side
    180,248.82x = 12,743,108,831.44
  5. Step 5: Solve for x
    x = 12,743,108,831.44/180,248.82
  6. Step 6: Final answer
    x = 70,697.32

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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.