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Finding the Fourth Proportional to 140,858.80, 194,298.77 and 115,054.84

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Solution

The fourth proportional to 140,858.80, 194,298.77 and 115,054.84 is: 158,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,858.80 : 194,298.77 = 115,054.84 : x
  2. Step 2: Convert to fraction form
    140,858.80/194,298.77 = 115,054.84/x
  3. Step 3: Cross multiply
    140,858.80x = 194,298.77 × 115,054.84
  4. Step 4: Simplify right side
    140,858.80x = 22,355,013,894.55
  5. Step 5: Solve for x
    x = 22,355,013,894.55/140,858.80
  6. Step 6: Final answer
    x = 158,705.13

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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.