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Finding the Fourth Proportional to 251,292, 346,782.96 and 138,114.75

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Solution

The fourth proportional to 251,292, 346,782.96 and 138,114.75 is: 190,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,292 : 346,782.96 = 138,114.75 : x
  2. Step 2: Convert to fraction form
    251,292/346,782.96 = 138,114.75/x
  3. Step 3: Cross multiply
    251,292x = 346,782.96 × 138,114.75
  4. Step 4: Simplify right side
    251,292x = 47,895,841,824.66
  5. Step 5: Solve for x
    x = 47,895,841,824.66/251,292
  6. Step 6: Final answer
    x = 190,598.36

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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.