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Finding the Fourth Proportional to 58,276, 87,414.24 and 21,340

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Solution

The fourth proportional to 58,276, 87,414.24 and 21,340 is: 32,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,276 : 87,414.24 = 21,340 : x
  2. Step 2: Convert to fraction form
    58,276/87,414.24 = 21,340/x
  3. Step 3: Cross multiply
    58,276x = 87,414.24 × 21,340
  4. Step 4: Simplify right side
    58,276x = 1,865,419,881.60
  5. Step 5: Solve for x
    x = 1,865,419,881.60/58,276
  6. Step 6: Final answer
    x = 32,010.09

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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.