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Finding the Fourth Proportional to 191,756.80, 287,764.80 and 107,516.80

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Solution

The fourth proportional to 191,756.80, 287,764.80 and 107,516.80 is: 161,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,756.80 : 287,764.80 = 107,516.80 : x
  2. Step 2: Convert to fraction form
    191,756.80/287,764.80 = 107,516.80/x
  3. Step 3: Cross multiply
    191,756.80x = 287,764.80 × 107,516.80
  4. Step 4: Simplify right side
    191,756.80x = 30,939,550,448.64
  5. Step 5: Solve for x
    x = 30,939,550,448.64/191,756.80
  6. Step 6: Final answer
    x = 161,347.87

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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.