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Finding the Fourth Proportional to 142,871.60, 214,015.76 and 67,764.08

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Solution

The fourth proportional to 142,871.60, 214,015.76 and 67,764.08 is: 101,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,871.60 : 214,015.76 = 67,764.08 : x
  2. Step 2: Convert to fraction form
    142,871.60/214,015.76 = 67,764.08/x
  3. Step 3: Cross multiply
    142,871.60x = 214,015.76 × 67,764.08
  4. Step 4: Simplify right side
    142,871.60x = 14,502,581,081.90
  5. Step 5: Solve for x
    x = 14,502,581,081.90/142,871.60
  6. Step 6: Final answer
    x = 101,507.79

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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.