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Finding the Fourth Proportional to 251,270.32, 346,749.12 and 138,090.64

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Solution

The fourth proportional to 251,270.32, 346,749.12 and 138,090.64 is: 190,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,270.32 : 346,749.12 = 138,090.64 : x
  2. Step 2: Convert to fraction form
    251,270.32/346,749.12 = 138,090.64/x
  3. Step 3: Cross multiply
    251,270.32x = 346,749.12 × 138,090.64
  4. Step 4: Simplify right side
    251,270.32x = 47,882,807,900.24
  5. Step 5: Solve for x
    x = 47,882,807,900.24/251,270.32
  6. Step 6: Final answer
    x = 190,562.93

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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.