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Finding the Fourth Proportional to 147,764.72, 221,785.32 and 72,969.32

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Solution

The fourth proportional to 147,764.72, 221,785.32 and 72,969.32 is: 109,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,764.72 : 221,785.32 = 72,969.32 : x
  2. Step 2: Convert to fraction form
    147,764.72/221,785.32 = 72,969.32/x
  3. Step 3: Cross multiply
    147,764.72x = 221,785.32 × 72,969.32
  4. Step 4: Simplify right side
    147,764.72x = 16,183,523,986.38
  5. Step 5: Solve for x
    x = 16,183,523,986.38/147,764.72
  6. Step 6: Final answer
    x = 109,522.25

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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.