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Finding the Fourth Proportional to 145,958, 201,422.28 and 78,890

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Solution

The fourth proportional to 145,958, 201,422.28 and 78,890 is: 108,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,958 : 201,422.28 = 78,890 : x
  2. Step 2: Convert to fraction form
    145,958/201,422.28 = 78,890/x
  3. Step 3: Cross multiply
    145,958x = 201,422.28 × 78,890
  4. Step 4: Simplify right side
    145,958x = 15,890,203,669.20
  5. Step 5: Solve for x
    x = 15,890,203,669.20/145,958
  6. Step 6: Final answer
    x = 108,868.33

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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.