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Finding the Fourth Proportional to 151,515.51, 209,087.53 and 83,530.90

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Solution

The fourth proportional to 151,515.51, 209,087.53 and 83,530.90 is: 115,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,515.51 : 209,087.53 = 83,530.90 : x
  2. Step 2: Convert to fraction form
    151,515.51/209,087.53 = 83,530.90/x
  3. Step 3: Cross multiply
    151,515.51x = 209,087.53 × 83,530.90
  4. Step 4: Simplify right side
    151,515.51x = 17,465,269,559.68
  5. Step 5: Solve for x
    x = 17,465,269,559.68/151,515.51
  6. Step 6: Final answer
    x = 115,270.51

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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.