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Finding the Fourth Proportional to 100,257, 149,970.03 and 76,384

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Solution

The fourth proportional to 100,257, 149,970.03 and 76,384 is: 114,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257 : 149,970.03 = 76,384 : x
  2. Step 2: Convert to fraction form
    100,257/149,970.03 = 76,384/x
  3. Step 3: Cross multiply
    100,257x = 149,970.03 × 76,384
  4. Step 4: Simplify right side
    100,257x = 11,455,310,771.52
  5. Step 5: Solve for x
    x = 11,455,310,771.52/100,257
  6. Step 6: Final answer
    x = 114,259.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.