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Finding the Fourth Proportional to 132,509.82, 182,923.26 and 87,211.59

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Solution

The fourth proportional to 132,509.82, 182,923.26 and 87,211.59 is: 120,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,509.82 : 182,923.26 = 87,211.59 : x
  2. Step 2: Convert to fraction form
    132,509.82/182,923.26 = 87,211.59/x
  3. Step 3: Cross multiply
    132,509.82x = 182,923.26 × 87,211.59
  4. Step 4: Simplify right side
    132,509.82x = 15,953,027,830.14
  5. Step 5: Solve for x
    x = 15,953,027,830.14/132,509.82
  6. Step 6: Final answer
    x = 120,391.28

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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.