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Finding the Fourth Proportional to 197,454, 272,486.52 and 106,809.96

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Solution

The fourth proportional to 197,454, 272,486.52 and 106,809.96 is: 147,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,454 : 272,486.52 = 106,809.96 : x
  2. Step 2: Convert to fraction form
    197,454/272,486.52 = 106,809.96/x
  3. Step 3: Cross multiply
    197,454x = 272,486.52 × 106,809.96
  4. Step 4: Simplify right side
    197,454x = 29,104,274,301.74
  5. Step 5: Solve for x
    x = 29,104,274,301.74/197,454
  6. Step 6: Final answer
    x = 147,397.74

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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.