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Finding the Fourth Proportional to 43,407.99, 65,116.76 and 13,815.45

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Solution

The fourth proportional to 43,407.99, 65,116.76 and 13,815.45 is: 20,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407.99 : 65,116.76 = 13,815.45 : x
  2. Step 2: Convert to fraction form
    43,407.99/65,116.76 = 13,815.45/x
  3. Step 3: Cross multiply
    43,407.99x = 65,116.76 × 13,815.45
  4. Step 4: Simplify right side
    43,407.99x = 899,617,272.86
  5. Step 5: Solve for x
    x = 899,617,272.86/43,407.99
  6. Step 6: Final answer
    x = 20,724.69

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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.