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Finding the Fourth Proportional to 151,645.44, 209,275.20 and 84,576

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Solution

The fourth proportional to 151,645.44, 209,275.20 and 84,576 is: 116,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,645.44 : 209,275.20 = 84,576 : x
  2. Step 2: Convert to fraction form
    151,645.44/209,275.20 = 84,576/x
  3. Step 3: Cross multiply
    151,645.44x = 209,275.20 × 84,576
  4. Step 4: Simplify right side
    151,645.44x = 17,699,659,315.20
  5. Step 5: Solve for x
    x = 17,699,659,315.20/151,645.44
  6. Step 6: Final answer
    x = 116,717.39

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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.