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Finding the Fourth Proportional to 159,391.84, 239,031.47 and 47,042

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Solution

The fourth proportional to 159,391.84, 239,031.47 and 47,042 is: 70,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,391.84 : 239,031.47 = 47,042 : x
  2. Step 2: Convert to fraction form
    159,391.84/239,031.47 = 47,042/x
  3. Step 3: Cross multiply
    159,391.84x = 239,031.47 × 47,042
  4. Step 4: Simplify right side
    159,391.84x = 11,244,518,411.74
  5. Step 5: Solve for x
    x = 11,244,518,411.74/159,391.84
  6. Step 6: Final answer
    x = 70,546.39

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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.