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Finding the Fourth Proportional to 98,966, 148,077 and 69,441.44

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Solution

The fourth proportional to 98,966, 148,077 and 69,441.44 is: 103,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,966 : 148,077 = 69,441.44 : x
  2. Step 2: Convert to fraction form
    98,966/148,077 = 69,441.44/x
  3. Step 3: Cross multiply
    98,966x = 148,077 × 69,441.44
  4. Step 4: Simplify right side
    98,966x = 10,282,680,110.88
  5. Step 5: Solve for x
    x = 10,282,680,110.88/98,966
  6. Step 6: Final answer
    x = 103,901.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.