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Finding the Fourth Proportional to 203,756.70, 305,701.46 and 102,502.50

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Solution

The fourth proportional to 203,756.70, 305,701.46 and 102,502.50 is: 153,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,756.70 : 305,701.46 = 102,502.50 : x
  2. Step 2: Convert to fraction form
    203,756.70/305,701.46 = 102,502.50/x
  3. Step 3: Cross multiply
    203,756.70x = 305,701.46 × 102,502.50
  4. Step 4: Simplify right side
    203,756.70x = 31,335,163,903.65
  5. Step 5: Solve for x
    x = 31,335,163,903.65/203,756.70
  6. Step 6: Final answer
    x = 153,787.16

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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.