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Finding the Fourth Proportional to 51,984.36, 77,600.43 and 45,678.67

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Solution

The fourth proportional to 51,984.36, 77,600.43 and 45,678.67 is: 68,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984.36 : 77,600.43 = 45,678.67 : x
  2. Step 2: Convert to fraction form
    51,984.36/77,600.43 = 45,678.67/x
  3. Step 3: Cross multiply
    51,984.36x = 77,600.43 × 45,678.67
  4. Step 4: Simplify right side
    51,984.36x = 3,544,684,239.83
  5. Step 5: Solve for x
    x = 3,544,684,239.83/51,984.36
  6. Step 6: Final answer
    x = 68,187.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.