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Finding the Fourth Proportional to 165,784.70, 248,750.55 and 86,880.17

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Solution

The fourth proportional to 165,784.70, 248,750.55 and 86,880.17 is: 130,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,784.70 : 248,750.55 = 86,880.17 : x
  2. Step 2: Convert to fraction form
    165,784.70/248,750.55 = 86,880.17/x
  3. Step 3: Cross multiply
    165,784.70x = 248,750.55 × 86,880.17
  4. Step 4: Simplify right side
    165,784.70x = 21,611,488,827.84
  5. Step 5: Solve for x
    x = 21,611,488,827.84/165,784.70
  6. Step 6: Final answer
    x = 130,358.77

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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.