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Finding the Fourth Proportional to 216,639, 298,956.23 and 119,840.33

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Solution

The fourth proportional to 216,639, 298,956.23 and 119,840.33 is: 165,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,639 : 298,956.23 = 119,840.33 : x
  2. Step 2: Convert to fraction form
    216,639/298,956.23 = 119,840.33/x
  3. Step 3: Cross multiply
    216,639x = 298,956.23 × 119,840.33
  4. Step 4: Simplify right side
    216,639x = 35,827,013,406.94
  5. Step 5: Solve for x
    x = 35,827,013,406.94/216,639
  6. Step 6: Final answer
    x = 165,376.56

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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.