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Finding the Fourth Proportional to 209,283.65, 313,918.44 and 90,955.01

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Solution

The fourth proportional to 209,283.65, 313,918.44 and 90,955.01 is: 136,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,283.65 : 313,918.44 = 90,955.01 : x
  2. Step 2: Convert to fraction form
    209,283.65/313,918.44 = 90,955.01/x
  3. Step 3: Cross multiply
    209,283.65x = 313,918.44 × 90,955.01
  4. Step 4: Simplify right side
    209,283.65x = 28,552,453,279.79
  5. Step 5: Solve for x
    x = 28,552,453,279.79/209,283.65
  6. Step 6: Final answer
    x = 136,429.45

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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.