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Finding the Fourth Proportional to 140,564.20, 210,919.20 and 61,686.40

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Solution

The fourth proportional to 140,564.20, 210,919.20 and 61,686.40 is: 92,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564.20 : 210,919.20 = 61,686.40 : x
  2. Step 2: Convert to fraction form
    140,564.20/210,919.20 = 61,686.40/x
  3. Step 3: Cross multiply
    140,564.20x = 210,919.20 × 61,686.40
  4. Step 4: Simplify right side
    140,564.20x = 13,010,846,138.88
  5. Step 5: Solve for x
    x = 13,010,846,138.88/140,564.20
  6. Step 6: Final answer
    x = 92,561.59

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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.