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Finding the Fourth Proportional to 83,709.30, 115,538.76 and 47,920

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Solution

The fourth proportional to 83,709.30, 115,538.76 and 47,920 is: 66,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,709.30 : 115,538.76 = 47,920 : x
  2. Step 2: Convert to fraction form
    83,709.30/115,538.76 = 47,920/x
  3. Step 3: Cross multiply
    83,709.30x = 115,538.76 × 47,920
  4. Step 4: Simplify right side
    83,709.30x = 5,536,617,379.20
  5. Step 5: Solve for x
    x = 5,536,617,379.20/83,709.30
  6. Step 6: Final answer
    x = 66,141.01

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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.