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Finding the Fourth Proportional to 118,231.76, 177,347.64 and 78,865.76

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Solution

The fourth proportional to 118,231.76, 177,347.64 and 78,865.76 is: 118,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,231.76 : 177,347.64 = 78,865.76 : x
  2. Step 2: Convert to fraction form
    118,231.76/177,347.64 = 78,865.76/x
  3. Step 3: Cross multiply
    118,231.76x = 177,347.64 × 78,865.76
  4. Step 4: Simplify right side
    118,231.76x = 13,986,656,412.81
  5. Step 5: Solve for x
    x = 13,986,656,412.81/118,231.76
  6. Step 6: Final answer
    x = 118,298.64

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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.