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Finding the Fourth Proportional to 143,005.20, 214,507.80 and 83,956.20

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Solution

The fourth proportional to 143,005.20, 214,507.80 and 83,956.20 is: 125,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,005.20 : 214,507.80 = 83,956.20 : x
  2. Step 2: Convert to fraction form
    143,005.20/214,507.80 = 83,956.20/x
  3. Step 3: Cross multiply
    143,005.20x = 214,507.80 × 83,956.20
  4. Step 4: Simplify right side
    143,005.20x = 18,009,259,758.36
  5. Step 5: Solve for x
    x = 18,009,259,758.36/143,005.20
  6. Step 6: Final answer
    x = 125,934.30

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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.