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Finding the Fourth Proportional to 68,757, 103,152.78 and 19,509

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Solution

The fourth proportional to 68,757, 103,152.78 and 19,509 is: 29,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,757 : 103,152.78 = 19,509 : x
  2. Step 2: Convert to fraction form
    68,757/103,152.78 = 19,509/x
  3. Step 3: Cross multiply
    68,757x = 103,152.78 × 19,509
  4. Step 4: Simplify right side
    68,757x = 2,012,407,585.02
  5. Step 5: Solve for x
    x = 2,012,407,585.02/68,757
  6. Step 6: Final answer
    x = 29,268.40

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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.