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Finding the Fourth Proportional to 65,279, 90,085.56 and 35,471

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Solution

The fourth proportional to 65,279, 90,085.56 and 35,471 is: 48,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,279 : 90,085.56 = 35,471 : x
  2. Step 2: Convert to fraction form
    65,279/90,085.56 = 35,471/x
  3. Step 3: Cross multiply
    65,279x = 90,085.56 × 35,471
  4. Step 4: Simplify right side
    65,279x = 3,195,424,898.76
  5. Step 5: Solve for x
    x = 3,195,424,898.76/65,279
  6. Step 6: Final answer
    x = 48,950.27

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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.