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Finding the Fourth Proportional to 165,784.95, 248,750.93 and 86,880.42

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Solution

The fourth proportional to 165,784.95, 248,750.93 and 86,880.42 is: 130,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,784.95 : 248,750.93 = 86,880.42 : x
  2. Step 2: Convert to fraction form
    165,784.95/248,750.93 = 86,880.42/x
  3. Step 3: Cross multiply
    165,784.95x = 248,750.93 × 86,880.42
  4. Step 4: Simplify right side
    165,784.95x = 21,611,585,273.79
  5. Step 5: Solve for x
    x = 21,611,585,273.79/165,784.95
  6. Step 6: Final answer
    x = 130,359.15

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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.