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Finding the Fourth Proportional to 138,221.69, 190,764.26 and 77,804.06

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Solution

The fourth proportional to 138,221.69, 190,764.26 and 77,804.06 is: 107,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,221.69 : 190,764.26 = 77,804.06 : x
  2. Step 2: Convert to fraction form
    138,221.69/190,764.26 = 77,804.06/x
  3. Step 3: Cross multiply
    138,221.69x = 190,764.26 × 77,804.06
  4. Step 4: Simplify right side
    138,221.69x = 14,842,233,064.96
  5. Step 5: Solve for x
    x = 14,842,233,064.96/138,221.69
  6. Step 6: Final answer
    x = 107,379.92

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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.