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Finding the Fourth Proportional to 151,032, 208,203.84 and 105,568.40

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Solution

The fourth proportional to 151,032, 208,203.84 and 105,568.40 is: 145,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,032 : 208,203.84 = 105,568.40 : x
  2. Step 2: Convert to fraction form
    151,032/208,203.84 = 105,568.40/x
  3. Step 3: Cross multiply
    151,032x = 208,203.84 × 105,568.40
  4. Step 4: Simplify right side
    151,032x = 21,979,746,262.66
  5. Step 5: Solve for x
    x = 21,979,746,262.66/151,032
  6. Step 6: Final answer
    x = 145,530.39

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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.