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Finding the Fourth Proportional to 205,851.54, 308,458.53 and 142,794.30

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Solution

The fourth proportional to 205,851.54, 308,458.53 and 142,794.30 is: 213,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,851.54 : 308,458.53 = 142,794.30 : x
  2. Step 2: Convert to fraction form
    205,851.54/308,458.53 = 142,794.30/x
  3. Step 3: Cross multiply
    205,851.54x = 308,458.53 × 142,794.30
  4. Step 4: Simplify right side
    205,851.54x = 44,046,119,870.38
  5. Step 5: Solve for x
    x = 44,046,119,870.38/205,851.54
  6. Step 6: Final answer
    x = 213,970.32

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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.