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Finding the Fourth Proportional to 65,924.40, 90,975.80 and 35,709.76

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Solution

The fourth proportional to 65,924.40, 90,975.80 and 35,709.76 is: 49,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,924.40 : 90,975.80 = 35,709.76 : x
  2. Step 2: Convert to fraction form
    65,924.40/90,975.80 = 35,709.76/x
  3. Step 3: Cross multiply
    65,924.40x = 90,975.80 × 35,709.76
  4. Step 4: Simplify right side
    65,924.40x = 3,248,723,983.81
  5. Step 5: Solve for x
    x = 3,248,723,983.81/65,924.40
  6. Step 6: Final answer
    x = 49,279.54

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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.