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Finding the Fourth Proportional to 142,992.92, 197,333.89 and 78,464.93

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Solution

The fourth proportional to 142,992.92, 197,333.89 and 78,464.93 is: 108,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,992.92 : 197,333.89 = 78,464.93 : x
  2. Step 2: Convert to fraction form
    142,992.92/197,333.89 = 78,464.93/x
  3. Step 3: Cross multiply
    142,992.92x = 197,333.89 × 78,464.93
  4. Step 4: Simplify right side
    142,992.92x = 15,483,788,682.65
  5. Step 5: Solve for x
    x = 15,483,788,682.65/142,992.92
  6. Step 6: Final answer
    x = 108,283.60

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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.