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Finding the Fourth Proportional to 138,994.08, 191,810.49 and 77,739.60

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Solution

The fourth proportional to 138,994.08, 191,810.49 and 77,739.60 is: 107,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,994.08 : 191,810.49 = 77,739.60 : x
  2. Step 2: Convert to fraction form
    138,994.08/191,810.49 = 77,739.60/x
  3. Step 3: Cross multiply
    138,994.08x = 191,810.49 × 77,739.60
  4. Step 4: Simplify right side
    138,994.08x = 14,911,270,768.40
  5. Step 5: Solve for x
    x = 14,911,270,768.40/138,994.08
  6. Step 6: Final answer
    x = 107,279.90

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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.