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Finding the Fourth Proportional to 251,274.75, 346,759.16 and 138,097.50

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Solution

The fourth proportional to 251,274.75, 346,759.16 and 138,097.50 is: 190,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,274.75 : 346,759.16 = 138,097.50 : x
  2. Step 2: Convert to fraction form
    251,274.75/346,759.16 = 138,097.50/x
  3. Step 3: Cross multiply
    251,274.75x = 346,759.16 × 138,097.50
  4. Step 4: Simplify right side
    251,274.75x = 47,886,572,407.61
  5. Step 5: Solve for x
    x = 47,886,572,407.61/251,274.75
  6. Step 6: Final answer
    x = 190,574.55

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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.