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Finding the Fourth Proportional to 139,728.93, 209,456.70 and 55,461.09

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Solution

The fourth proportional to 139,728.93, 209,456.70 and 55,461.09 is: 83,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,728.93 : 209,456.70 = 55,461.09 : x
  2. Step 2: Convert to fraction form
    139,728.93/209,456.70 = 55,461.09/x
  3. Step 3: Cross multiply
    139,728.93x = 209,456.70 × 55,461.09
  4. Step 4: Simplify right side
    139,728.93x = 11,616,696,889.80
  5. Step 5: Solve for x
    x = 11,616,696,889.80/139,728.93
  6. Step 6: Final answer
    x = 83,137.38

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1.5x scale

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.