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Finding the Fourth Proportional to 159,725.40, 220,491.90 and 103,164.36

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Solution

The fourth proportional to 159,725.40, 220,491.90 and 103,164.36 is: 142,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,725.40 : 220,491.90 = 103,164.36 : x
  2. Step 2: Convert to fraction form
    159,725.40/220,491.90 = 103,164.36/x
  3. Step 3: Cross multiply
    159,725.40x = 220,491.90 × 103,164.36
  4. Step 4: Simplify right side
    159,725.40x = 22,746,905,748.68
  5. Step 5: Solve for x
    x = 22,746,905,748.68/159,725.40
  6. Step 6: Final answer
    x = 142,412.58

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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.