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Finding the Fourth Proportional to 105,889.81, 146,028.93 and 84,450.88

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Solution

The fourth proportional to 105,889.81, 146,028.93 and 84,450.88 is: 116,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,889.81 : 146,028.93 = 84,450.88 : x
  2. Step 2: Convert to fraction form
    105,889.81/146,028.93 = 84,450.88/x
  3. Step 3: Cross multiply
    105,889.81x = 146,028.93 × 84,450.88
  4. Step 4: Simplify right side
    105,889.81x = 12,332,271,643.96
  5. Step 5: Solve for x
    x = 12,332,271,643.96/105,889.81
  6. Step 6: Final answer
    x = 116,463.25

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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.