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Finding the Fourth Proportional to 193,643.57, 290,457.45 and 67,312.46

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Solution

The fourth proportional to 193,643.57, 290,457.45 and 67,312.46 is: 100,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,643.57 : 290,457.45 = 67,312.46 : x
  2. Step 2: Convert to fraction form
    193,643.57/290,457.45 = 67,312.46/x
  3. Step 3: Cross multiply
    193,643.57x = 290,457.45 × 67,312.46
  4. Step 4: Simplify right side
    193,643.57x = 19,551,404,032.54
  5. Step 5: Solve for x
    x = 19,551,404,032.54/193,643.57
  6. Step 6: Final answer
    x = 100,965.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.