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Finding the Fourth Proportional to 100,398.66, 150,543 and 46,304.64

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Solution

The fourth proportional to 100,398.66, 150,543 and 46,304.64 is: 69,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.66 : 150,543 = 46,304.64 : x
  2. Step 2: Convert to fraction form
    100,398.66/150,543 = 46,304.64/x
  3. Step 3: Cross multiply
    100,398.66x = 150,543 × 46,304.64
  4. Step 4: Simplify right side
    100,398.66x = 6,970,839,419.52
  5. Step 5: Solve for x
    x = 6,970,839,419.52/100,398.66
  6. Step 6: Final answer
    x = 69,431.60

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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.