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Finding the Fourth Proportional to 65,491, 90,377.58 and 35,683

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Solution

The fourth proportional to 65,491, 90,377.58 and 35,683 is: 49,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,491 : 90,377.58 = 35,683 : x
  2. Step 2: Convert to fraction form
    65,491/90,377.58 = 35,683/x
  3. Step 3: Cross multiply
    65,491x = 90,377.58 × 35,683
  4. Step 4: Simplify right side
    65,491x = 3,224,943,187.14
  5. Step 5: Solve for x
    x = 3,224,943,187.14/65,491
  6. Step 6: Final answer
    x = 49,242.54

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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.