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Finding the Fourth Proportional to 208,323.24, 312,435.30 and 89,929.80

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Solution

The fourth proportional to 208,323.24, 312,435.30 and 89,929.80 is: 134,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,323.24 : 312,435.30 = 89,929.80 : x
  2. Step 2: Convert to fraction form
    208,323.24/312,435.30 = 89,929.80/x
  3. Step 3: Cross multiply
    208,323.24x = 312,435.30 × 89,929.80
  4. Step 4: Simplify right side
    208,323.24x = 28,097,244,041.94
  5. Step 5: Solve for x
    x = 28,097,244,041.94/208,323.24
  6. Step 6: Final answer
    x = 134,873.31

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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.