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Finding the Fourth Proportional to 89,907.84, 123,768 and 77,258.88

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Solution

The fourth proportional to 89,907.84, 123,768 and 77,258.88 is: 106,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,907.84 : 123,768 = 77,258.88 : x
  2. Step 2: Convert to fraction form
    89,907.84/123,768 = 77,258.88/x
  3. Step 3: Cross multiply
    89,907.84x = 123,768 × 77,258.88
  4. Step 4: Simplify right side
    89,907.84x = 9,562,177,059.84
  5. Step 5: Solve for x
    x = 9,562,177,059.84/89,907.84
  6. Step 6: Final answer
    x = 106,355.32

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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.