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Finding the Fourth Proportional to 230,977, 346,603.74 and 99,649

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Solution

The fourth proportional to 230,977, 346,603.74 and 99,649 is: 149,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,977 : 346,603.74 = 99,649 : x
  2. Step 2: Convert to fraction form
    230,977/346,603.74 = 99,649/x
  3. Step 3: Cross multiply
    230,977x = 346,603.74 × 99,649
  4. Step 4: Simplify right side
    230,977x = 34,538,716,087.26
  5. Step 5: Solve for x
    x = 34,538,716,087.26/230,977
  6. Step 6: Final answer
    x = 149,533.14

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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.