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Finding the Fourth Proportional to 78,768.84, 108,639.54 and 50,477.16

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Solution

The fourth proportional to 78,768.84, 108,639.54 and 50,477.16 is: 69,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768.84 : 108,639.54 = 50,477.16 : x
  2. Step 2: Convert to fraction form
    78,768.84/108,639.54 = 50,477.16/x
  3. Step 3: Cross multiply
    78,768.84x = 108,639.54 × 50,477.16
  4. Step 4: Simplify right side
    78,768.84x = 5,483,815,442.91
  5. Step 5: Solve for x
    x = 5,483,815,442.91/78,768.84
  6. Step 6: Final answer
    x = 69,619.10

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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.