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Finding the Fourth Proportional to 142,697.35, 213,880.24 and 53,894.35

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Solution

The fourth proportional to 142,697.35, 213,880.24 and 53,894.35 is: 80,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,697.35 : 213,880.24 = 53,894.35 : x
  2. Step 2: Convert to fraction form
    142,697.35/213,880.24 = 53,894.35/x
  3. Step 3: Cross multiply
    142,697.35x = 213,880.24 × 53,894.35
  4. Step 4: Simplify right side
    142,697.35x = 11,526,936,045.31
  5. Step 5: Solve for x
    x = 11,526,936,045.31/142,697.35
  6. Step 6: Final answer
    x = 80,778.91

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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.