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Finding the Fourth Proportional to 219,803.78, 329,702.07 and 70,042.06

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Solution

The fourth proportional to 219,803.78, 329,702.07 and 70,042.06 is: 105,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,803.78 : 329,702.07 = 70,042.06 : x
  2. Step 2: Convert to fraction form
    219,803.78/329,702.07 = 70,042.06/x
  3. Step 3: Cross multiply
    219,803.78x = 329,702.07 × 70,042.06
  4. Step 4: Simplify right side
    219,803.78x = 23,093,012,169.06
  5. Step 5: Solve for x
    x = 23,093,012,169.06/219,803.78
  6. Step 6: Final answer
    x = 105,061.94

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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.