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Finding the Fourth Proportional to 111,381.10, 167,071.65 and 97,821.70

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Solution

The fourth proportional to 111,381.10, 167,071.65 and 97,821.70 is: 146,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,381.10 : 167,071.65 = 97,821.70 : x
  2. Step 2: Convert to fraction form
    111,381.10/167,071.65 = 97,821.70/x
  3. Step 3: Cross multiply
    111,381.10x = 167,071.65 × 97,821.70
  4. Step 4: Simplify right side
    111,381.10x = 16,343,232,824.81
  5. Step 5: Solve for x
    x = 16,343,232,824.81/111,381.10
  6. Step 6: Final answer
    x = 146,732.55

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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.