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Finding the Fourth Proportional to 209,254.76, 313,974.84 and 119,294.16

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Solution

The fourth proportional to 209,254.76, 313,974.84 and 119,294.16 is: 178,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,254.76 : 313,974.84 = 119,294.16 : x
  2. Step 2: Convert to fraction form
    209,254.76/313,974.84 = 119,294.16/x
  3. Step 3: Cross multiply
    209,254.76x = 313,974.84 × 119,294.16
  4. Step 4: Simplify right side
    209,254.76x = 37,455,364,798.93
  5. Step 5: Solve for x
    x = 37,455,364,798.93/209,254.76
  6. Step 6: Final answer
    x = 178,994.09

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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.