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Finding the Fourth Proportional to 42,549.75, 63,834.12 and 12,969.90

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Solution

The fourth proportional to 42,549.75, 63,834.12 and 12,969.90 is: 19,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,549.75 : 63,834.12 = 12,969.90 : x
  2. Step 2: Convert to fraction form
    42,549.75/63,834.12 = 12,969.90/x
  3. Step 3: Cross multiply
    42,549.75x = 63,834.12 × 12,969.90
  4. Step 4: Simplify right side
    42,549.75x = 827,922,152.99
  5. Step 5: Solve for x
    x = 827,922,152.99/42,549.75
  6. Step 6: Final answer
    x = 19,457.74

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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.