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Finding the Fourth Proportional to 111,902.42, 154,457.96 and 73,145.88

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Solution

The fourth proportional to 111,902.42, 154,457.96 and 73,145.88 is: 100,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,902.42 : 154,457.96 = 73,145.88 : x
  2. Step 2: Convert to fraction form
    111,902.42/154,457.96 = 73,145.88/x
  3. Step 3: Cross multiply
    111,902.42x = 154,457.96 × 73,145.88
  4. Step 4: Simplify right side
    111,902.42x = 11,297,963,041.48
  5. Step 5: Solve for x
    x = 11,297,963,041.48/111,902.42
  6. Step 6: Final answer
    x = 100,962.63

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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.