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Finding the Fourth Proportional to 201,134.32, 301,828.74 and 112,446

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Solution

The fourth proportional to 201,134.32, 301,828.74 and 112,446 is: 168,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,134.32 : 301,828.74 = 112,446 : x
  2. Step 2: Convert to fraction form
    201,134.32/301,828.74 = 112,446/x
  3. Step 3: Cross multiply
    201,134.32x = 301,828.74 × 112,446
  4. Step 4: Simplify right side
    201,134.32x = 33,939,434,498.04
  5. Step 5: Solve for x
    x = 33,939,434,498.04/201,134.32
  6. Step 6: Final answer
    x = 168,740.15

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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.