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Finding the Fourth Proportional to 142,992.92, 197,332.83 and 78,465.48

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Solution

The fourth proportional to 142,992.92, 197,332.83 and 78,465.48 is: 108,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,992.92 : 197,332.83 = 78,465.48 : x
  2. Step 2: Convert to fraction form
    142,992.92/197,332.83 = 78,465.48/x
  3. Step 3: Cross multiply
    142,992.92x = 197,332.83 × 78,465.48
  4. Step 4: Simplify right side
    142,992.92x = 15,483,815,225.71
  5. Step 5: Solve for x
    x = 15,483,815,225.71/142,992.92
  6. Step 6: Final answer
    x = 108,283.79

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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.