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Finding the Fourth Proportional to 206,831.52, 285,421.20 and 117,406.88

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Solution

The fourth proportional to 206,831.52, 285,421.20 and 117,406.88 is: 162,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,831.52 : 285,421.20 = 117,406.88 : x
  2. Step 2: Convert to fraction form
    206,831.52/285,421.20 = 117,406.88/x
  3. Step 3: Cross multiply
    206,831.52x = 285,421.20 × 117,406.88
  4. Step 4: Simplify right side
    206,831.52x = 33,510,412,577.86
  5. Step 5: Solve for x
    x = 33,510,412,577.86/206,831.52
  6. Step 6: Final answer
    x = 162,017.92

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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.