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Finding the Fourth Proportional to 71,898.57, 107,864.26 and 21,985.76

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Solution

The fourth proportional to 71,898.57, 107,864.26 and 21,985.76 is: 32,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,898.57 : 107,864.26 = 21,985.76 : x
  2. Step 2: Convert to fraction form
    71,898.57/107,864.26 = 21,985.76/x
  3. Step 3: Cross multiply
    71,898.57x = 107,864.26 × 21,985.76
  4. Step 4: Simplify right side
    71,898.57x = 2,371,477,947.63
  5. Step 5: Solve for x
    x = 2,371,477,947.63/71,898.57
  6. Step 6: Final answer
    x = 32,983.66

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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.