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Finding the Fourth Proportional to 251,948.86, 347,689.43 and 138,771.61

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Solution

The fourth proportional to 251,948.86, 347,689.43 and 138,771.61 is: 191,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,948.86 : 347,689.43 = 138,771.61 : x
  2. Step 2: Convert to fraction form
    251,948.86/347,689.43 = 138,771.61/x
  3. Step 3: Cross multiply
    251,948.86x = 347,689.43 × 138,771.61
  4. Step 4: Simplify right side
    251,948.86x = 48,249,421,287.22
  5. Step 5: Solve for x
    x = 48,249,421,287.22/251,948.86
  6. Step 6: Final answer
    x = 191,504.82

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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.