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Finding the Fourth Proportional to 67,014.50, 100,368.66 and 31,978.76

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Solution

The fourth proportional to 67,014.50, 100,368.66 and 31,978.76 is: 47,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,014.50 : 100,368.66 = 31,978.76 : x
  2. Step 2: Convert to fraction form
    67,014.50/100,368.66 = 31,978.76/x
  3. Step 3: Cross multiply
    67,014.50x = 100,368.66 × 31,978.76
  4. Step 4: Simplify right side
    67,014.50x = 3,209,665,289.66
  5. Step 5: Solve for x
    x = 3,209,665,289.66/67,014.50
  6. Step 6: Final answer
    x = 47,895.09

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1.5x scale

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.