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Finding the Fourth Proportional to 101,098.36, 151,642.06 and 30,977.87

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Solution

The fourth proportional to 101,098.36, 151,642.06 and 30,977.87 is: 46,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098.36 : 151,642.06 = 30,977.87 : x
  2. Step 2: Convert to fraction form
    101,098.36/151,642.06 = 30,977.87/x
  3. Step 3: Cross multiply
    101,098.36x = 151,642.06 × 30,977.87
  4. Step 4: Simplify right side
    101,098.36x = 4,697,548,021.21
  5. Step 5: Solve for x
    x = 4,697,548,021.21/101,098.36
  6. Step 6: Final answer
    x = 46,465.13

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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.