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Finding the Fourth Proportional to 43,086, 64,629.04 and 13,506.16

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Solution

The fourth proportional to 43,086, 64,629.04 and 13,506.16 is: 20,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,086 : 64,629.04 = 13,506.16 : x
  2. Step 2: Convert to fraction form
    43,086/64,629.04 = 13,506.16/x
  3. Step 3: Cross multiply
    43,086x = 64,629.04 × 13,506.16
  4. Step 4: Simplify right side
    43,086x = 872,890,154.89
  5. Step 5: Solve for x
    x = 872,890,154.89/43,086
  6. Step 6: Final answer
    x = 20,259.25

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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.