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Finding the Fourth Proportional to 65,683.75, 90,643.94 and 35,875.75

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Solution

The fourth proportional to 65,683.75, 90,643.94 and 35,875.75 is: 49,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,683.75 : 90,643.94 = 35,875.75 : x
  2. Step 2: Convert to fraction form
    65,683.75/90,643.94 = 35,875.75/x
  3. Step 3: Cross multiply
    65,683.75x = 90,643.94 × 35,875.75
  4. Step 4: Simplify right side
    65,683.75x = 3,251,919,330.46
  5. Step 5: Solve for x
    x = 3,251,919,330.46/65,683.75
  6. Step 6: Final answer
    x = 49,508.73

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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.