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Finding the Fourth Proportional to 138,292, 190,866 and 104,699.68

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Solution

The fourth proportional to 138,292, 190,866 and 104,699.68 is: 144,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,292 : 190,866 = 104,699.68 : x
  2. Step 2: Convert to fraction form
    138,292/190,866 = 104,699.68/x
  3. Step 3: Cross multiply
    138,292x = 190,866 × 104,699.68
  4. Step 4: Simplify right side
    138,292x = 19,983,609,122.88
  5. Step 5: Solve for x
    x = 19,983,609,122.88/138,292
  6. Step 6: Final answer
    x = 144,503.00

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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.