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Finding the Fourth Proportional to 65,198.48, 89,974 and 35,390.48

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Solution

The fourth proportional to 65,198.48, 89,974 and 35,390.48 is: 48,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.48 : 89,974 = 35,390.48 : x
  2. Step 2: Convert to fraction form
    65,198.48/89,974 = 35,390.48/x
  3. Step 3: Cross multiply
    65,198.48x = 89,974 × 35,390.48
  4. Step 4: Simplify right side
    65,198.48x = 3,184,223,047.52
  5. Step 5: Solve for x
    x = 3,184,223,047.52/65,198.48
  6. Step 6: Final answer
    x = 48,838.92

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1.5x scale

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.