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Finding the Fourth Proportional to 251,882.16, 347,562 and 138,712.32

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Solution

The fourth proportional to 251,882.16, 347,562 and 138,712.32 is: 191,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,882.16 : 347,562 = 138,712.32 : x
  2. Step 2: Convert to fraction form
    251,882.16/347,562 = 138,712.32/x
  3. Step 3: Cross multiply
    251,882.16x = 347,562 × 138,712.32
  4. Step 4: Simplify right side
    251,882.16x = 48,211,131,363.84
  5. Step 5: Solve for x
    x = 48,211,131,363.84/251,882.16
  6. Step 6: Final answer
    x = 191,403.52

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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.