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Finding the Fourth Proportional to 209,721.42, 314,457.71 and 83,293.65

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Solution

The fourth proportional to 209,721.42, 314,457.71 and 83,293.65 is: 124,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,721.42 : 314,457.71 = 83,293.65 : x
  2. Step 2: Convert to fraction form
    209,721.42/314,457.71 = 83,293.65/x
  3. Step 3: Cross multiply
    209,721.42x = 314,457.71 × 83,293.65
  4. Step 4: Simplify right side
    209,721.42x = 26,192,330,020.07
  5. Step 5: Solve for x
    x = 26,192,330,020.07/209,721.42
  6. Step 6: Final answer
    x = 124,891.06

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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.