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Finding the Fourth Proportional to 142,764.60, 214,146.90 and 72,780.60

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Solution

The fourth proportional to 142,764.60, 214,146.90 and 72,780.60 is: 109,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,764.60 : 214,146.90 = 72,780.60 : x
  2. Step 2: Convert to fraction form
    142,764.60/214,146.90 = 72,780.60/x
  3. Step 3: Cross multiply
    142,764.60x = 214,146.90 × 72,780.60
  4. Step 4: Simplify right side
    142,764.60x = 15,585,739,870.14
  5. Step 5: Solve for x
    x = 15,585,739,870.14/142,764.60
  6. Step 6: Final answer
    x = 109,170.90

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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.