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Finding the Fourth Proportional to 205,802.47, 308,703.71 and 135,665.38

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Solution

The fourth proportional to 205,802.47, 308,703.71 and 135,665.38 is: 203,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,802.47 : 308,703.71 = 135,665.38 : x
  2. Step 2: Convert to fraction form
    205,802.47/308,703.71 = 135,665.38/x
  3. Step 3: Cross multiply
    205,802.47x = 308,703.71 × 135,665.38
  4. Step 4: Simplify right side
    205,802.47x = 41,880,405,446.23
  5. Step 5: Solve for x
    x = 41,880,405,446.23/205,802.47
  6. Step 6: Final answer
    x = 203,498.07

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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.