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Finding the Fourth Proportional to 159,456, 239,184 and 65,964

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Solution

The fourth proportional to 159,456, 239,184 and 65,964 is: 98,946

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,456 : 239,184 = 65,964 : x
  2. Step 2: Convert to fraction form
    159,456/239,184 = 65,964/x
  3. Step 3: Cross multiply
    159,456x = 239,184 × 65,964
  4. Step 4: Simplify right side
    159,456x = 15,777,533,376
  5. Step 5: Solve for x
    x = 15,777,533,376/159,456
  6. Step 6: Final answer
    x = 98,946

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.