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Finding the Fourth Proportional to 252,840.89, 348,904.87 and 138,096.29

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Solution

The fourth proportional to 252,840.89, 348,904.87 and 138,096.29 is: 190,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,840.89 : 348,904.87 = 138,096.29 : x
  2. Step 2: Convert to fraction form
    252,840.89/348,904.87 = 138,096.29/x
  3. Step 3: Cross multiply
    252,840.89x = 348,904.87 × 138,096.29
  4. Step 4: Simplify right side
    252,840.89x = 48,182,468,636.95
  5. Step 5: Solve for x
    x = 48,182,468,636.95/252,840.89
  6. Step 6: Final answer
    x = 190,564.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.