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Finding the Fourth Proportional to 86,941.40, 130,412.10 and 81,109.40

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Solution

The fourth proportional to 86,941.40, 130,412.10 and 81,109.40 is: 121,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,941.40 : 130,412.10 = 81,109.40 : x
  2. Step 2: Convert to fraction form
    86,941.40/130,412.10 = 81,109.40/x
  3. Step 3: Cross multiply
    86,941.40x = 130,412.10 × 81,109.40
  4. Step 4: Simplify right side
    86,941.40x = 10,577,647,183.74
  5. Step 5: Solve for x
    x = 10,577,647,183.74/86,941.40
  6. Step 6: Final answer
    x = 121,664.10

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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.