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Finding the Fourth Proportional to 197,388, 272,397.60 and 107,964

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Solution

The fourth proportional to 197,388, 272,397.60 and 107,964 is: 148,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,388 : 272,397.60 = 107,964 : x
  2. Step 2: Convert to fraction form
    197,388/272,397.60 = 107,964/x
  3. Step 3: Cross multiply
    197,388x = 272,397.60 × 107,964
  4. Step 4: Simplify right side
    197,388x = 29,409,134,486.40
  5. Step 5: Solve for x
    x = 29,409,134,486.40/197,388
  6. Step 6: Final answer
    x = 148,991.50

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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.