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Finding the Fourth Proportional to 77,647.93, 107,150.70 and 47,483.80

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Solution

The fourth proportional to 77,647.93, 107,150.70 and 47,483.80 is: 65,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,647.93 : 107,150.70 = 47,483.80 : x
  2. Step 2: Convert to fraction form
    77,647.93/107,150.70 = 47,483.80/x
  3. Step 3: Cross multiply
    77,647.93x = 107,150.70 × 47,483.80
  4. Step 4: Simplify right side
    77,647.93x = 5,087,922,498.47
  5. Step 5: Solve for x
    x = 5,087,922,498.47/77,647.93
  6. Step 6: Final answer
    x = 65,525.54

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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.