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Finding the Fourth Proportional to 201,637.52, 302,457.14 and 81,696.80

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Solution

The fourth proportional to 201,637.52, 302,457.14 and 81,696.80 is: 122,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,637.52 : 302,457.14 = 81,696.80 : x
  2. Step 2: Convert to fraction form
    201,637.52/302,457.14 = 81,696.80/x
  3. Step 3: Cross multiply
    201,637.52x = 302,457.14 × 81,696.80
  4. Step 4: Simplify right side
    201,637.52x = 24,709,780,475.15
  5. Step 5: Solve for x
    x = 24,709,780,475.15/201,637.52
  6. Step 6: Final answer
    x = 122,545.55

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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.