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Finding the Fourth Proportional to 65,457, 90,330.66 and 35,649

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Solution

The fourth proportional to 65,457, 90,330.66 and 35,649 is: 49,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457 : 90,330.66 = 35,649 : x
  2. Step 2: Convert to fraction form
    65,457/90,330.66 = 35,649/x
  3. Step 3: Cross multiply
    65,457x = 90,330.66 × 35,649
  4. Step 4: Simplify right side
    65,457x = 3,220,197,698.34
  5. Step 5: Solve for x
    x = 3,220,197,698.34/65,457
  6. Step 6: Final answer
    x = 49,195.62

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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.