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Finding the Fourth Proportional to 142,369.40, 196,452.68 and 78,698.54

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Solution

The fourth proportional to 142,369.40, 196,452.68 and 78,698.54 is: 108,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,369.40 : 196,452.68 = 78,698.54 : x
  2. Step 2: Convert to fraction form
    142,369.40/196,452.68 = 78,698.54/x
  3. Step 3: Cross multiply
    142,369.40x = 196,452.68 × 78,698.54
  4. Step 4: Simplify right side
    142,369.40x = 15,460,539,095.09
  5. Step 5: Solve for x
    x = 15,460,539,095.09/142,369.40
  6. Step 6: Final answer
    x = 108,594.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.