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Finding the Fourth Proportional to 201,399.40, 302,079.54 and 61,159.24

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Solution

The fourth proportional to 201,399.40, 302,079.54 and 61,159.24 is: 91,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,399.40 : 302,079.54 = 61,159.24 : x
  2. Step 2: Convert to fraction form
    201,399.40/302,079.54 = 61,159.24/x
  3. Step 3: Cross multiply
    201,399.40x = 302,079.54 × 61,159.24
  4. Step 4: Simplify right side
    201,399.40x = 18,474,955,085.95
  5. Step 5: Solve for x
    x = 18,474,955,085.95/201,399.40
  6. Step 6: Final answer
    x = 91,732.92

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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.