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Finding the Fourth Proportional to 111,902.45, 167,681.34 and 51,894

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Solution

The fourth proportional to 111,902.45, 167,681.34 and 51,894 is: 77,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,902.45 : 167,681.34 = 51,894 : x
  2. Step 2: Convert to fraction form
    111,902.45/167,681.34 = 51,894/x
  3. Step 3: Cross multiply
    111,902.45x = 167,681.34 × 51,894
  4. Step 4: Simplify right side
    111,902.45x = 8,701,655,457.96
  5. Step 5: Solve for x
    x = 8,701,655,457.96/111,902.45
  6. Step 6: Final answer
    x = 77,761.08

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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.