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Finding the Fourth Proportional to 239,384.94, 330,368.13 and 137,427

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Solution

The fourth proportional to 239,384.94, 330,368.13 and 137,427 is: 189,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,384.94 : 330,368.13 = 137,427 : x
  2. Step 2: Convert to fraction form
    239,384.94/330,368.13 = 137,427/x
  3. Step 3: Cross multiply
    239,384.94x = 330,368.13 × 137,427
  4. Step 4: Simplify right side
    239,384.94x = 45,401,501,001.51
  5. Step 5: Solve for x
    x = 45,401,501,001.51/239,384.94
  6. Step 6: Final answer
    x = 189,658.97

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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.