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Finding the Fourth Proportional to 77,628, 107,143.92 and 49,328.16

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Solution

The fourth proportional to 77,628, 107,143.92 and 49,328.16 is: 68,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,628 : 107,143.92 = 49,328.16 : x
  2. Step 2: Convert to fraction form
    77,628/107,143.92 = 49,328.16/x
  3. Step 3: Cross multiply
    77,628x = 107,143.92 × 49,328.16
  4. Step 4: Simplify right side
    77,628x = 5,285,212,428.79
  5. Step 5: Solve for x
    x = 5,285,212,428.79/77,628
  6. Step 6: Final answer
    x = 68,083.84

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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.