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Finding the Fourth Proportional to 201,564.02, 302,389.78 and 61,319

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Solution

The fourth proportional to 201,564.02, 302,389.78 and 61,319 is: 91,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,564.02 : 302,389.78 = 61,319 : x
  2. Step 2: Convert to fraction form
    201,564.02/302,389.78 = 61,319/x
  3. Step 3: Cross multiply
    201,564.02x = 302,389.78 × 61,319
  4. Step 4: Simplify right side
    201,564.02x = 18,542,238,919.82
  5. Step 5: Solve for x
    x = 18,542,238,919.82/201,564.02
  6. Step 6: Final answer
    x = 91,991.81

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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.