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Finding the Fourth Proportional to 643,120.66, 964,671.64 and 156,804.76

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Solution

The fourth proportional to 643,120.66, 964,671.64 and 156,804.76 is: 235,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,120.66 : 964,671.64 = 156,804.76 : x
  2. Step 2: Convert to fraction form
    643,120.66/964,671.64 = 156,804.76/x
  3. Step 3: Cross multiply
    643,120.66x = 964,671.64 × 156,804.76
  4. Step 4: Simplify right side
    643,120.66x = 151,265,104,989.01
  5. Step 5: Solve for x
    x = 151,265,104,989.01/643,120.66
  6. Step 6: Final answer
    x = 235,204.86

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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.