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Finding the Fourth Proportional to 197,280, 272,250.72 and 107,856

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Solution

The fourth proportional to 197,280, 272,250.72 and 107,856 is: 148,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,280 : 272,250.72 = 107,856 : x
  2. Step 2: Convert to fraction form
    197,280/272,250.72 = 107,856/x
  3. Step 3: Cross multiply
    197,280x = 272,250.72 × 107,856
  4. Step 4: Simplify right side
    197,280x = 29,363,873,656.32
  5. Step 5: Solve for x
    x = 29,363,873,656.32/197,280
  6. Step 6: Final answer
    x = 148,843.64

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