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Finding the Fourth Proportional to 154,698.45, 231,989.36 and 64,747.40

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Solution

The fourth proportional to 154,698.45, 231,989.36 and 64,747.40 is: 97,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,698.45 : 231,989.36 = 64,747.40 : x
  2. Step 2: Convert to fraction form
    154,698.45/231,989.36 = 64,747.40/x
  3. Step 3: Cross multiply
    154,698.45x = 231,989.36 × 64,747.40
  4. Step 4: Simplify right side
    154,698.45x = 15,020,707,363.97
  5. Step 5: Solve for x
    x = 15,020,707,363.97/154,698.45
  6. Step 6: Final answer
    x = 97,096.69

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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.