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Finding the Fourth Proportional to 145,869, 201,299.40 and 78,801

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Solution

The fourth proportional to 145,869, 201,299.40 and 78,801 is: 108,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,869 : 201,299.40 = 78,801 : x
  2. Step 2: Convert to fraction form
    145,869/201,299.40 = 78,801/x
  3. Step 3: Cross multiply
    145,869x = 201,299.40 × 78,801
  4. Step 4: Simplify right side
    145,869x = 15,862,594,019.40
  5. Step 5: Solve for x
    x = 15,862,594,019.40/145,869
  6. Step 6: Final answer
    x = 108,745.48

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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.