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Finding the Fourth Proportional to 251,673.16, 347,309.04 and 138,496

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Solution

The fourth proportional to 251,673.16, 347,309.04 and 138,496 is: 191,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,673.16 : 347,309.04 = 138,496 : x
  2. Step 2: Convert to fraction form
    251,673.16/347,309.04 = 138,496/x
  3. Step 3: Cross multiply
    251,673.16x = 347,309.04 × 138,496
  4. Step 4: Simplify right side
    251,673.16x = 48,100,912,803.84
  5. Step 5: Solve for x
    x = 48,100,912,803.84/251,673.16
  6. Step 6: Final answer
    x = 191,124.52

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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.