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Finding the Fourth Proportional to 151,751.94, 209,429.28 and 83,782.02

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Solution

The fourth proportional to 151,751.94, 209,429.28 and 83,782.02 is: 115,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,751.94 : 209,429.28 = 83,782.02 : x
  2. Step 2: Convert to fraction form
    151,751.94/209,429.28 = 83,782.02/x
  3. Step 3: Cross multiply
    151,751.94x = 209,429.28 × 83,782.02
  4. Step 4: Simplify right side
    151,751.94x = 17,546,408,125.55
  5. Step 5: Solve for x
    x = 17,546,408,125.55/151,751.94
  6. Step 6: Final answer
    x = 115,625.59

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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.