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Finding the Fourth Proportional to 70,983.90, 106,385.40 and 37,719.90

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Solution

The fourth proportional to 70,983.90, 106,385.40 and 37,719.90 is: 56,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.90 : 106,385.40 = 37,719.90 : x
  2. Step 2: Convert to fraction form
    70,983.90/106,385.40 = 37,719.90/x
  3. Step 3: Cross multiply
    70,983.90x = 106,385.40 × 37,719.90
  4. Step 4: Simplify right side
    70,983.90x = 4,012,846,649.46
  5. Step 5: Solve for x
    x = 4,012,846,649.46/70,983.90
  6. Step 6: Final answer
    x = 56,531.79

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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.