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Finding the Fourth Proportional to 165,975.88, 249,074.52 and 86,087.48

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Solution

The fourth proportional to 165,975.88, 249,074.52 and 86,087.48 is: 129,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,975.88 : 249,074.52 = 86,087.48 : x
  2. Step 2: Convert to fraction form
    165,975.88/249,074.52 = 86,087.48/x
  3. Step 3: Cross multiply
    165,975.88x = 249,074.52 × 86,087.48
  4. Step 4: Simplify right side
    165,975.88x = 21,442,197,759.01
  5. Step 5: Solve for x
    x = 21,442,197,759.01/165,975.88
  6. Step 6: Final answer
    x = 129,188.64

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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.