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Finding the Fourth Proportional to 190,788, 263,288.40 and 119,209.50

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Solution

The fourth proportional to 190,788, 263,288.40 and 119,209.50 is: 164,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,788 : 263,288.40 = 119,209.50 : x
  2. Step 2: Convert to fraction form
    190,788/263,288.40 = 119,209.50/x
  3. Step 3: Cross multiply
    190,788x = 263,288.40 × 119,209.50
  4. Step 4: Simplify right side
    190,788x = 31,386,478,519.80
  5. Step 5: Solve for x
    x = 31,386,478,519.80/190,788
  6. Step 6: Final answer
    x = 164,509.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.