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Finding the Fourth Proportional to 201,418.10, 302,065.40 and 66,457.26

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Solution

The fourth proportional to 201,418.10, 302,065.40 and 66,457.26 is: 99,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,418.10 : 302,065.40 = 66,457.26 : x
  2. Step 2: Convert to fraction form
    201,418.10/302,065.40 = 66,457.26/x
  3. Step 3: Cross multiply
    201,418.10x = 302,065.40 × 66,457.26
  4. Step 4: Simplify right side
    201,418.10x = 20,074,438,824.80
  5. Step 5: Solve for x
    x = 20,074,438,824.80/201,418.10
  6. Step 6: Final answer
    x = 99,665.52

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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.