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Finding the Fourth Proportional to 192,000.88, 287,585.34 and 139,294

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Solution

The fourth proportional to 192,000.88, 287,585.34 and 139,294 is: 208,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000.88 : 287,585.34 = 139,294 : x
  2. Step 2: Convert to fraction form
    192,000.88/287,585.34 = 139,294/x
  3. Step 3: Cross multiply
    192,000.88x = 287,585.34 × 139,294
  4. Step 4: Simplify right side
    192,000.88x = 40,058,912,349.96
  5. Step 5: Solve for x
    x = 40,058,912,349.96/192,000.88
  6. Step 6: Final answer
    x = 208,639.21

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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.