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Finding the Fourth Proportional to 251,806.64, 347,492.22 and 138,629.48

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Solution

The fourth proportional to 251,806.64, 347,492.22 and 138,629.48 is: 191,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,806.64 : 347,492.22 = 138,629.48 : x
  2. Step 2: Convert to fraction form
    251,806.64/347,492.22 = 138,629.48/x
  3. Step 3: Cross multiply
    251,806.64x = 347,492.22 × 138,629.48
  4. Step 4: Simplify right side
    251,806.64x = 48,172,665,762.65
  5. Step 5: Solve for x
    x = 48,172,665,762.65/251,806.64
  6. Step 6: Final answer
    x = 191,308.16

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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.