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Finding the Fourth Proportional to 130,298.28, 179,958.96 and 87,783

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Solution

The fourth proportional to 130,298.28, 179,958.96 and 87,783 is: 121,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,298.28 : 179,958.96 = 87,783 : x
  2. Step 2: Convert to fraction form
    130,298.28/179,958.96 = 87,783/x
  3. Step 3: Cross multiply
    130,298.28x = 179,958.96 × 87,783
  4. Step 4: Simplify right side
    130,298.28x = 15,797,337,385.68
  5. Step 5: Solve for x
    x = 15,797,337,385.68/130,298.28
  6. Step 6: Final answer
    x = 121,239.80

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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.