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Finding the Fourth Proportional to 133,021.78, 183,601.47 and 76,465.96

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Solution

The fourth proportional to 133,021.78, 183,601.47 and 76,465.96 is: 105,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021.78 : 183,601.47 = 76,465.96 : x
  2. Step 2: Convert to fraction form
    133,021.78/183,601.47 = 76,465.96/x
  3. Step 3: Cross multiply
    133,021.78x = 183,601.47 × 76,465.96
  4. Step 4: Simplify right side
    133,021.78x = 14,039,262,660.96
  5. Step 5: Solve for x
    x = 14,039,262,660.96/133,021.78
  6. Step 6: Final answer
    x = 105,541.08

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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.