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Finding the Fourth Proportional to 201,705.80, 303,214.80 and 142,948.40

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Solution

The fourth proportional to 201,705.80, 303,214.80 and 142,948.40 is: 214,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.80 : 303,214.80 = 142,948.40 : x
  2. Step 2: Convert to fraction form
    201,705.80/303,214.80 = 142,948.40/x
  3. Step 3: Cross multiply
    201,705.80x = 303,214.80 × 142,948.40
  4. Step 4: Simplify right side
    201,705.80x = 43,344,070,516.32
  5. Step 5: Solve for x
    x = 43,344,070,516.32/201,705.80
  6. Step 6: Final answer
    x = 214,887.58

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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.