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Finding the Fourth Proportional to 58,132, 87,211 and 21,196

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Solution

The fourth proportional to 58,132, 87,211 and 21,196 is: 31,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,132 : 87,211 = 21,196 : x
  2. Step 2: Convert to fraction form
    58,132/87,211 = 21,196/x
  3. Step 3: Cross multiply
    58,132x = 87,211 × 21,196
  4. Step 4: Simplify right side
    58,132x = 1,848,524,356
  5. Step 5: Solve for x
    x = 1,848,524,356/58,132
  6. Step 6: Final answer
    x = 31,798.74

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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.