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Finding the Fourth Proportional to 209,285.16, 313,920.69 and 90,956.51

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Solution

The fourth proportional to 209,285.16, 313,920.69 and 90,956.51 is: 136,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,285.16 : 313,920.69 = 90,956.51 : x
  2. Step 2: Convert to fraction form
    209,285.16/313,920.69 = 90,956.51/x
  3. Step 3: Cross multiply
    209,285.16x = 313,920.69 × 90,956.51
  4. Step 4: Simplify right side
    209,285.16x = 28,553,128,809.59
  5. Step 5: Solve for x
    x = 28,553,128,809.59/209,285.16
  6. Step 6: Final answer
    x = 136,431.69

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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.