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Finding the Fourth Proportional to 251,008, 346,393.47 and 137,833.18

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Solution

The fourth proportional to 251,008, 346,393.47 and 137,833.18 is: 190,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,008 : 346,393.47 = 137,833.18 : x
  2. Step 2: Convert to fraction form
    251,008/346,393.47 = 137,833.18/x
  3. Step 3: Cross multiply
    251,008x = 346,393.47 × 137,833.18
  4. Step 4: Simplify right side
    251,008x = 47,744,513,501.33
  5. Step 5: Solve for x
    x = 47,744,513,501.33/251,008
  6. Step 6: Final answer
    x = 190,211.12

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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.