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Finding the Fourth Proportional to 140,961.40, 211,442.10 and 70,977.40

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Solution

The fourth proportional to 140,961.40, 211,442.10 and 70,977.40 is: 106,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,961.40 : 211,442.10 = 70,977.40 : x
  2. Step 2: Convert to fraction form
    140,961.40/211,442.10 = 70,977.40/x
  3. Step 3: Cross multiply
    140,961.40x = 211,442.10 × 70,977.40
  4. Step 4: Simplify right side
    140,961.40x = 15,007,610,508.54
  5. Step 5: Solve for x
    x = 15,007,610,508.54/140,961.40
  6. Step 6: Final answer
    x = 106,466.10

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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.