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Finding the Fourth Proportional to 119,293.48, 164,640.90 and 76,975.30

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Solution

The fourth proportional to 119,293.48, 164,640.90 and 76,975.30 is: 106,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,293.48 : 164,640.90 = 76,975.30 : x
  2. Step 2: Convert to fraction form
    119,293.48/164,640.90 = 76,975.30/x
  3. Step 3: Cross multiply
    119,293.48x = 164,640.90 × 76,975.30
  4. Step 4: Simplify right side
    119,293.48x = 12,673,282,669.77
  5. Step 5: Solve for x
    x = 12,673,282,669.77/119,293.48
  6. Step 6: Final answer
    x = 106,236.17

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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.