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Finding the Fourth Proportional to 208,929.40, 313,394.10 and 51,159.40

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Solution

The fourth proportional to 208,929.40, 313,394.10 and 51,159.40 is: 76,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,929.40 : 313,394.10 = 51,159.40 : x
  2. Step 2: Convert to fraction form
    208,929.40/313,394.10 = 51,159.40/x
  3. Step 3: Cross multiply
    208,929.40x = 313,394.10 × 51,159.40
  4. Step 4: Simplify right side
    208,929.40x = 16,033,054,119.54
  5. Step 5: Solve for x
    x = 16,033,054,119.54/208,929.40
  6. Step 6: Final answer
    x = 76,739.10

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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.