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Finding the Fourth Proportional to 191,054.82, 286,310.66 and 140,739.24

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Solution

The fourth proportional to 191,054.82, 286,310.66 and 140,739.24 is: 210,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,054.82 : 286,310.66 = 140,739.24 : x
  2. Step 2: Convert to fraction form
    191,054.82/286,310.66 = 140,739.24/x
  3. Step 3: Cross multiply
    191,054.82x = 286,310.66 × 140,739.24
  4. Step 4: Simplify right side
    191,054.82x = 40,295,143,988.60
  5. Step 5: Solve for x
    x = 40,295,143,988.60/191,054.82
  6. Step 6: Final answer
    x = 210,908.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.