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Finding the Fourth Proportional to 252,008.69, 347,771.98 and 138,831.44

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Solution

The fourth proportional to 252,008.69, 347,771.98 and 138,831.44 is: 191,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,008.69 : 347,771.98 = 138,831.44 : x
  2. Step 2: Convert to fraction form
    252,008.69/347,771.98 = 138,831.44/x
  3. Step 3: Cross multiply
    252,008.69x = 347,771.98 × 138,831.44
  4. Step 4: Simplify right side
    252,008.69x = 48,281,684,080.89
  5. Step 5: Solve for x
    x = 48,281,684,080.89/252,008.69
  6. Step 6: Final answer
    x = 191,587.38

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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.