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Finding the Fourth Proportional to 238,090.78, 357,045.85 and 78,128.13

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Solution

The fourth proportional to 238,090.78, 357,045.85 and 78,128.13 is: 117,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,090.78 : 357,045.85 = 78,128.13 : x
  2. Step 2: Convert to fraction form
    238,090.78/357,045.85 = 78,128.13/x
  3. Step 3: Cross multiply
    238,090.78x = 357,045.85 × 78,128.13
  4. Step 4: Simplify right side
    238,090.78x = 27,895,324,584.76
  5. Step 5: Solve for x
    x = 27,895,324,584.76/238,090.78
  6. Step 6: Final answer
    x = 117,162.56

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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.