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Finding the Fourth Proportional to 133,342.40, 200,042.40 and 39,857.60

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Solution

The fourth proportional to 133,342.40, 200,042.40 and 39,857.60 is: 59,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,342.40 : 200,042.40 = 39,857.60 : x
  2. Step 2: Convert to fraction form
    133,342.40/200,042.40 = 39,857.60/x
  3. Step 3: Cross multiply
    133,342.40x = 200,042.40 × 39,857.60
  4. Step 4: Simplify right side
    133,342.40x = 7,973,209,962.24
  5. Step 5: Solve for x
    x = 7,973,209,962.24/133,342.40
  6. Step 6: Final answer
    x = 59,795.01

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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.