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Finding the Fourth Proportional to 208,809.20, 288,150.96 and 115,671.68

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Solution

The fourth proportional to 208,809.20, 288,150.96 and 115,671.68 is: 159,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,809.20 : 288,150.96 = 115,671.68 : x
  2. Step 2: Convert to fraction form
    208,809.20/288,150.96 = 115,671.68/x
  3. Step 3: Cross multiply
    208,809.20x = 288,150.96 × 115,671.68
  4. Step 4: Simplify right side
    208,809.20x = 33,330,905,636.81
  5. Step 5: Solve for x
    x = 33,330,905,636.81/208,809.20
  6. Step 6: Final answer
    x = 159,623.74

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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.