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Finding the Fourth Proportional to 205,710.18, 308,454.31 and 93,329.07

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Solution

The fourth proportional to 205,710.18, 308,454.31 and 93,329.07 is: 139,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,710.18 : 308,454.31 = 93,329.07 : x
  2. Step 2: Convert to fraction form
    205,710.18/308,454.31 = 93,329.07/x
  3. Step 3: Cross multiply
    205,710.18x = 308,454.31 × 93,329.07
  4. Step 4: Simplify right side
    205,710.18x = 28,787,753,889.79
  5. Step 5: Solve for x
    x = 28,787,753,889.79/205,710.18
  6. Step 6: Final answer
    x = 139,943.26

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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.