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Finding the Fourth Proportional to 248,044.64, 372,057.12 and 105,831.20

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Solution

The fourth proportional to 248,044.64, 372,057.12 and 105,831.20 is: 158,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,044.64 : 372,057.12 = 105,831.20 : x
  2. Step 2: Convert to fraction form
    248,044.64/372,057.12 = 105,831.20/x
  3. Step 3: Cross multiply
    248,044.64x = 372,057.12 × 105,831.20
  4. Step 4: Simplify right side
    248,044.64x = 39,375,251,478.14
  5. Step 5: Solve for x
    x = 39,375,251,478.14/248,044.64
  6. Step 6: Final answer
    x = 158,742.60

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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.