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Finding the Fourth Proportional to 206,478.48, 309,907.80 and 127,746.48

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Solution

The fourth proportional to 206,478.48, 309,907.80 and 127,746.48 is: 191,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.48 : 309,907.80 = 127,746.48 : x
  2. Step 2: Convert to fraction form
    206,478.48/309,907.80 = 127,746.48/x
  3. Step 3: Cross multiply
    206,478.48x = 309,907.80 × 127,746.48
  4. Step 4: Simplify right side
    206,478.48x = 39,589,630,574.54
  5. Step 5: Solve for x
    x = 39,589,630,574.54/206,478.48
  6. Step 6: Final answer
    x = 191,737.32

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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.