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Finding the Fourth Proportional to 147,706.28, 203,835.30 and 80,639.72

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Solution

The fourth proportional to 147,706.28, 203,835.30 and 80,639.72 is: 111,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,706.28 : 203,835.30 = 80,639.72 : x
  2. Step 2: Convert to fraction form
    147,706.28/203,835.30 = 80,639.72/x
  3. Step 3: Cross multiply
    147,706.28x = 203,835.30 × 80,639.72
  4. Step 4: Simplify right side
    147,706.28x = 16,437,221,518.12
  5. Step 5: Solve for x
    x = 16,437,221,518.12/147,706.28
  6. Step 6: Final answer
    x = 111,283.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.