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Finding the Fourth Proportional to 76,980, 106,233.36 and 43,446.24

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Solution

The fourth proportional to 76,980, 106,233.36 and 43,446.24 is: 59,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980 : 106,233.36 = 43,446.24 : x
  2. Step 2: Convert to fraction form
    76,980/106,233.36 = 43,446.24/x
  3. Step 3: Cross multiply
    76,980x = 106,233.36 × 43,446.24
  4. Step 4: Simplify right side
    76,980x = 4,615,440,054.57
  5. Step 5: Solve for x
    x = 4,615,440,054.57/76,980
  6. Step 6: Final answer
    x = 59,956.35

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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.