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Finding the Fourth Proportional to 138,146.51, 190,653.14 and 77,713.49

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Solution

The fourth proportional to 138,146.51, 190,653.14 and 77,713.49 is: 107,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146.51 : 190,653.14 = 77,713.49 : x
  2. Step 2: Convert to fraction form
    138,146.51/190,653.14 = 77,713.49/x
  3. Step 3: Cross multiply
    138,146.51x = 190,653.14 × 77,713.49
  4. Step 4: Simplify right side
    138,146.51x = 14,816,321,559.78
  5. Step 5: Solve for x
    x = 14,816,321,559.78/138,146.51
  6. Step 6: Final answer
    x = 107,250.78

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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.