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Finding the Fourth Proportional to 138,194.56, 190,703.76 and 77,767.84

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Solution

The fourth proportional to 138,194.56, 190,703.76 and 77,767.84 is: 107,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,194.56 : 190,703.76 = 77,767.84 : x
  2. Step 2: Convert to fraction form
    138,194.56/190,703.76 = 77,767.84/x
  3. Step 3: Cross multiply
    138,194.56x = 190,703.76 × 77,767.84
  4. Step 4: Simplify right side
    138,194.56x = 14,830,619,495.08
  5. Step 5: Solve for x
    x = 14,830,619,495.08/138,194.56
  6. Step 6: Final answer
    x = 107,316.96

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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.