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Finding the Fourth Proportional to 124,467.84, 171,763.74 and 67,878

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Solution

The fourth proportional to 124,467.84, 171,763.74 and 67,878 is: 93,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,467.84 : 171,763.74 = 67,878 : x
  2. Step 2: Convert to fraction form
    124,467.84/171,763.74 = 67,878/x
  3. Step 3: Cross multiply
    124,467.84x = 171,763.74 × 67,878
  4. Step 4: Simplify right side
    124,467.84x = 11,658,979,143.72
  5. Step 5: Solve for x
    x = 11,658,979,143.72/124,467.84
  6. Step 6: Final answer
    x = 93,670.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.