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Finding the Fourth Proportional to 124,746, 172,149.48 and 68,157.78

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Solution

The fourth proportional to 124,746, 172,149.48 and 68,157.78 is: 94,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,746 : 172,149.48 = 68,157.78 : x
  2. Step 2: Convert to fraction form
    124,746/172,149.48 = 68,157.78/x
  3. Step 3: Cross multiply
    124,746x = 172,149.48 × 68,157.78
  4. Step 4: Simplify right side
    124,746x = 11,733,326,384.95
  5. Step 5: Solve for x
    x = 11,733,326,384.95/124,746
  6. Step 6: Final answer
    x = 94,057.74

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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.