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Finding the Fourth Proportional to 77,810.94, 116,745.83 and 30,459.87

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Solution

The fourth proportional to 77,810.94, 116,745.83 and 30,459.87 is: 45,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,810.94 : 116,745.83 = 30,459.87 : x
  2. Step 2: Convert to fraction form
    77,810.94/116,745.83 = 30,459.87/x
  3. Step 3: Cross multiply
    77,810.94x = 116,745.83 × 30,459.87
  4. Step 4: Simplify right side
    77,810.94x = 3,556,062,652.54
  5. Step 5: Solve for x
    x = 3,556,062,652.54/77,810.94
  6. Step 6: Final answer
    x = 45,701.32

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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.