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Finding the Fourth Proportional to 238,071.78, 357,002.10 and 111,609.90

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Solution

The fourth proportional to 238,071.78, 357,002.10 and 111,609.90 is: 167,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,071.78 : 357,002.10 = 111,609.90 : x
  2. Step 2: Convert to fraction form
    238,071.78/357,002.10 = 111,609.90/x
  3. Step 3: Cross multiply
    238,071.78x = 357,002.10 × 111,609.90
  4. Step 4: Simplify right side
    238,071.78x = 39,844,968,680.79
  5. Step 5: Solve for x
    x = 39,844,968,680.79/238,071.78
  6. Step 6: Final answer
    x = 167,365.36

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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.