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Finding the Fourth Proportional to 76,977, 106,215.30 and 51,442.29

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Solution

The fourth proportional to 76,977, 106,215.30 and 51,442.29 is: 70,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977 : 106,215.30 = 51,442.29 : x
  2. Step 2: Convert to fraction form
    76,977/106,215.30 = 51,442.29/x
  3. Step 3: Cross multiply
    76,977x = 106,215.30 × 51,442.29
  4. Step 4: Simplify right side
    76,977x = 5,463,958,265.04
  5. Step 5: Solve for x
    x = 5,463,958,265.04/76,977
  6. Step 6: Final answer
    x = 70,981.70

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1.5x scale

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.