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Finding the Fourth Proportional to 151,698.75, 209,344.11 and 83,715.72

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Solution

The fourth proportional to 151,698.75, 209,344.11 and 83,715.72 is: 115,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,698.75 : 209,344.11 = 83,715.72 : x
  2. Step 2: Convert to fraction form
    151,698.75/209,344.11 = 83,715.72/x
  3. Step 3: Cross multiply
    151,698.75x = 209,344.11 × 83,715.72
  4. Step 4: Simplify right side
    151,698.75x = 17,525,392,896.41
  5. Step 5: Solve for x
    x = 17,525,392,896.41/151,698.75
  6. Step 6: Final answer
    x = 115,527.60

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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.