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Finding the Fourth Proportional to 142,992.74, 197,339.32 and 82,565.94

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Solution

The fourth proportional to 142,992.74, 197,339.32 and 82,565.94 is: 113,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,992.74 : 197,339.32 = 82,565.94 : x
  2. Step 2: Convert to fraction form
    142,992.74/197,339.32 = 82,565.94/x
  3. Step 3: Cross multiply
    142,992.74x = 197,339.32 × 82,565.94
  4. Step 4: Simplify right side
    142,992.74x = 16,293,506,454.76
  5. Step 5: Solve for x
    x = 16,293,506,454.76/142,992.74
  6. Step 6: Final answer
    x = 113,946.39

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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.