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Finding the Fourth Proportional to 201,538.40, 302,307.60 and 142,489.40

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Solution

The fourth proportional to 201,538.40, 302,307.60 and 142,489.40 is: 213,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.40 : 302,307.60 = 142,489.40 : x
  2. Step 2: Convert to fraction form
    201,538.40/302,307.60 = 142,489.40/x
  3. Step 3: Cross multiply
    201,538.40x = 302,307.60 × 142,489.40
  4. Step 4: Simplify right side
    201,538.40x = 43,075,628,539.44
  5. Step 5: Solve for x
    x = 43,075,628,539.44/201,538.40
  6. Step 6: Final answer
    x = 213,734.10

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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.