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Finding the Fourth Proportional to 142,313.60, 213,474.72 and 48,818

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Solution

The fourth proportional to 142,313.60, 213,474.72 and 48,818 is: 73,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,313.60 : 213,474.72 = 48,818 : x
  2. Step 2: Convert to fraction form
    142,313.60/213,474.72 = 48,818/x
  3. Step 3: Cross multiply
    142,313.60x = 213,474.72 × 48,818
  4. Step 4: Simplify right side
    142,313.60x = 10,421,408,880.96
  5. Step 5: Solve for x
    x = 10,421,408,880.96/142,313.60
  6. Step 6: Final answer
    x = 73,228.48

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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.