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Finding the Fourth Proportional to 65,683, 90,642.90 and 35,875

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Solution

The fourth proportional to 65,683, 90,642.90 and 35,875 is: 49,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,683 : 90,642.90 = 35,875 : x
  2. Step 2: Convert to fraction form
    65,683/90,642.90 = 35,875/x
  3. Step 3: Cross multiply
    65,683x = 90,642.90 × 35,875
  4. Step 4: Simplify right side
    65,683x = 3,251,814,037.50
  5. Step 5: Solve for x
    x = 3,251,814,037.50/65,683
  6. Step 6: Final answer
    x = 49,507.70

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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.