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Finding the Fourth Proportional to 83,289.70, 114,938.76 and 47,478.52

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Solution

The fourth proportional to 83,289.70, 114,938.76 and 47,478.52 is: 65,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,289.70 : 114,938.76 = 47,478.52 : x
  2. Step 2: Convert to fraction form
    83,289.70/114,938.76 = 47,478.52/x
  3. Step 3: Cross multiply
    83,289.70x = 114,938.76 × 47,478.52
  4. Step 4: Simplify right side
    83,289.70x = 5,457,122,215.44
  5. Step 5: Solve for x
    x = 5,457,122,215.44/83,289.70
  6. Step 6: Final answer
    x = 65,519.77

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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.