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Finding the Fourth Proportional to 144,809.28, 200,020.32 and 130,656.96

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Solution

The fourth proportional to 144,809.28, 200,020.32 and 130,656.96 is: 180,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,809.28 : 200,020.32 = 130,656.96 : x
  2. Step 2: Convert to fraction form
    144,809.28/200,020.32 = 130,656.96/x
  3. Step 3: Cross multiply
    144,809.28x = 200,020.32 × 130,656.96
  4. Step 4: Simplify right side
    144,809.28x = 26,134,046,949.43
  5. Step 5: Solve for x
    x = 26,134,046,949.43/144,809.28
  6. Step 6: Final answer
    x = 180,472.18

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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.