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Finding the Fourth Proportional to 106,507.78, 159,844.29 and 40,008.40

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Solution

The fourth proportional to 106,507.78, 159,844.29 and 40,008.40 is: 60,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.78 : 159,844.29 = 40,008.40 : x
  2. Step 2: Convert to fraction form
    106,507.78/159,844.29 = 40,008.40/x
  3. Step 3: Cross multiply
    106,507.78x = 159,844.29 × 40,008.40
  4. Step 4: Simplify right side
    106,507.78x = 6,395,114,292.04
  5. Step 5: Solve for x
    x = 6,395,114,292.04/106,507.78
  6. Step 6: Final answer
    x = 60,043.64

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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.