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Finding the Fourth Proportional to 197,264, 272,225.28 and 107,840

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Solution

The fourth proportional to 197,264, 272,225.28 and 107,840 is: 148,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,264 : 272,225.28 = 107,840 : x
  2. Step 2: Convert to fraction form
    197,264/272,225.28 = 107,840/x
  3. Step 3: Cross multiply
    197,264x = 272,225.28 × 107,840
  4. Step 4: Simplify right side
    197,264x = 29,356,774,195.20
  5. Step 5: Solve for x
    x = 29,356,774,195.20/197,264
  6. Step 6: Final answer
    x = 148,819.72

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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.