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Finding the Fourth Proportional to 247,714.93, 371,477.31 and 105,470.02

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Solution

The fourth proportional to 247,714.93, 371,477.31 and 105,470.02 is: 158,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,714.93 : 371,477.31 = 105,470.02 : x
  2. Step 2: Convert to fraction form
    247,714.93/371,477.31 = 105,470.02/x
  3. Step 3: Cross multiply
    247,714.93x = 371,477.31 × 105,470.02
  4. Step 4: Simplify right side
    247,714.93x = 39,179,719,315.25
  5. Step 5: Solve for x
    x = 39,179,719,315.25/247,714.93
  6. Step 6: Final answer
    x = 158,164.55

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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.