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Finding the Fourth Proportional to 201,571.32, 302,346.02 and 61,319

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Solution

The fourth proportional to 201,571.32, 302,346.02 and 61,319 is: 91,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,571.32 : 302,346.02 = 61,319 : x
  2. Step 2: Convert to fraction form
    201,571.32/302,346.02 = 61,319/x
  3. Step 3: Cross multiply
    201,571.32x = 302,346.02 × 61,319
  4. Step 4: Simplify right side
    201,571.32x = 18,539,555,600.38
  5. Step 5: Solve for x
    x = 18,539,555,600.38/201,571.32
  6. Step 6: Final answer
    x = 91,975.17

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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.