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Finding the Fourth Proportional to 201,531.80, 302,953.80 and 142,774.40

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Solution

The fourth proportional to 201,531.80, 302,953.80 and 142,774.40 is: 214,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,531.80 : 302,953.80 = 142,774.40 : x
  2. Step 2: Convert to fraction form
    201,531.80/302,953.80 = 142,774.40/x
  3. Step 3: Cross multiply
    201,531.80x = 302,953.80 × 142,774.40
  4. Step 4: Simplify right side
    201,531.80x = 43,254,047,022.72
  5. Step 5: Solve for x
    x = 43,254,047,022.72/201,531.80
  6. Step 6: Final answer
    x = 214,626.41

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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.