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Finding the Fourth Proportional to 203,626.16, 305,368.32 and 83,648.96

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Solution

The fourth proportional to 203,626.16, 305,368.32 and 83,648.96 is: 125,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,626.16 : 305,368.32 = 83,648.96 : x
  2. Step 2: Convert to fraction form
    203,626.16/305,368.32 = 83,648.96/x
  3. Step 3: Cross multiply
    203,626.16x = 305,368.32 × 83,648.96
  4. Step 4: Simplify right side
    203,626.16x = 25,543,742,384.95
  5. Step 5: Solve for x
    x = 25,543,742,384.95/203,626.16
  6. Step 6: Final answer
    x = 125,444.31

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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.