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Finding the Fourth Proportional to 201,135.32, 301,830.24 and 112,447

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Solution

The fourth proportional to 201,135.32, 301,830.24 and 112,447 is: 168,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,135.32 : 301,830.24 = 112,447 : x
  2. Step 2: Convert to fraction form
    201,135.32/301,830.24 = 112,447/x
  3. Step 3: Cross multiply
    201,135.32x = 301,830.24 × 112,447
  4. Step 4: Simplify right side
    201,135.32x = 33,939,904,997.28
  5. Step 5: Solve for x
    x = 33,939,904,997.28/201,135.32
  6. Step 6: Final answer
    x = 168,741.65

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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.