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Finding the Fourth Proportional to 209,188.90, 313,750.32 and 90,828.46

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Solution

The fourth proportional to 209,188.90, 313,750.32 and 90,828.46 is: 136,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,188.90 : 313,750.32 = 90,828.46 : x
  2. Step 2: Convert to fraction form
    209,188.90/313,750.32 = 90,828.46/x
  3. Step 3: Cross multiply
    209,188.90x = 313,750.32 × 90,828.46
  4. Step 4: Simplify right side
    209,188.90x = 28,497,458,390.11
  5. Step 5: Solve for x
    x = 28,497,458,390.11/209,188.90
  6. Step 6: Final answer
    x = 136,228.35

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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.