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Finding the Fourth Proportional to 82,721.84, 114,147.32 and 48,728.32

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Solution

The fourth proportional to 82,721.84, 114,147.32 and 48,728.32 is: 67,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,721.84 : 114,147.32 = 48,728.32 : x
  2. Step 2: Convert to fraction form
    82,721.84/114,147.32 = 48,728.32/x
  3. Step 3: Cross multiply
    82,721.84x = 114,147.32 × 48,728.32
  4. Step 4: Simplify right side
    82,721.84x = 5,562,207,136.10
  5. Step 5: Solve for x
    x = 5,562,207,136.10/82,721.84
  6. Step 6: Final answer
    x = 67,239.89

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1.5x scale

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.