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Finding the Fourth Proportional to 284,056.86, 426,081.62 and 81,657.74

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Solution

The fourth proportional to 284,056.86, 426,081.62 and 81,657.74 is: 122,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,056.86 : 426,081.62 = 81,657.74 : x
  2. Step 2: Convert to fraction form
    284,056.86/426,081.62 = 81,657.74/x
  3. Step 3: Cross multiply
    284,056.86x = 426,081.62 × 81,657.74
  4. Step 4: Simplify right side
    284,056.86x = 34,792,862,144.74
  5. Step 5: Solve for x
    x = 34,792,862,144.74/284,056.86
  6. Step 6: Final answer
    x = 122,485.55

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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.