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Finding the Fourth Proportional to 205,859.54, 308,470.47 and 142,802.30

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Solution

The fourth proportional to 205,859.54, 308,470.47 and 142,802.30 is: 213,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,859.54 : 308,470.47 = 142,802.30 : x
  2. Step 2: Convert to fraction form
    205,859.54/308,470.47 = 142,802.30/x
  3. Step 3: Cross multiply
    205,859.54x = 308,470.47 × 142,802.30
  4. Step 4: Simplify right side
    205,859.54x = 44,050,292,598.08
  5. Step 5: Solve for x
    x = 44,050,292,598.08/205,859.54
  6. Step 6: Final answer
    x = 213,982.27

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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.