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Finding the Fourth Proportional to 205,802.10, 308,303.68 and 151,668.47

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Solution

The fourth proportional to 205,802.10, 308,303.68 and 151,668.47 is: 227,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,802.10 : 308,303.68 = 151,668.47 : x
  2. Step 2: Convert to fraction form
    205,802.10/308,303.68 = 151,668.47/x
  3. Step 3: Cross multiply
    205,802.10x = 308,303.68 × 151,668.47
  4. Step 4: Simplify right side
    205,802.10x = 46,759,947,440.97
  5. Step 5: Solve for x
    x = 46,759,947,440.97/205,802.10
  6. Step 6: Final answer
    x = 227,208.31

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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.