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Finding the Fourth Proportional to 251,019.81, 346,409.75 and 137,844.93

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Solution

The fourth proportional to 251,019.81, 346,409.75 and 137,844.93 is: 190,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,019.81 : 346,409.75 = 137,844.93 : x
  2. Step 2: Convert to fraction form
    251,019.81/346,409.75 = 137,844.93/x
  3. Step 3: Cross multiply
    251,019.81x = 346,409.75 × 137,844.93
  4. Step 4: Simplify right side
    251,019.81x = 47,750,827,050.84
  5. Step 5: Solve for x
    x = 47,750,827,050.84/251,019.81
  6. Step 6: Final answer
    x = 190,227.33

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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.