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Finding the Fourth Proportional to 251,392.64, 346,912.98 and 138,214.52

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Solution

The fourth proportional to 251,392.64, 346,912.98 and 138,214.52 is: 190,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,392.64 : 346,912.98 = 138,214.52 : x
  2. Step 2: Convert to fraction form
    251,392.64/346,912.98 = 138,214.52/x
  3. Step 3: Cross multiply
    251,392.64x = 346,912.98 × 138,214.52
  4. Step 4: Simplify right side
    251,392.64x = 47,948,411,012.47
  5. Step 5: Solve for x
    x = 47,948,411,012.47/251,392.64
  6. Step 6: Final answer
    x = 190,731.16

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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.