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Finding the Fourth Proportional to 142,994.76, 214,410 and 54,191.64

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Solution

The fourth proportional to 142,994.76, 214,410 and 54,191.64 is: 81,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,994.76 : 214,410 = 54,191.64 : x
  2. Step 2: Convert to fraction form
    142,994.76/214,410 = 54,191.64/x
  3. Step 3: Cross multiply
    142,994.76x = 214,410 × 54,191.64
  4. Step 4: Simplify right side
    142,994.76x = 11,619,229,532.40
  5. Step 5: Solve for x
    x = 11,619,229,532.40/142,994.76
  6. Step 6: Final answer
    x = 81,256.33

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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.