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Finding the Fourth Proportional to 291,293.06, 436,986.57 and 86,148.50

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Solution

The fourth proportional to 291,293.06, 436,986.57 and 86,148.50 is: 129,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,293.06 : 436,986.57 = 86,148.50 : x
  2. Step 2: Convert to fraction form
    291,293.06/436,986.57 = 86,148.50/x
  3. Step 3: Cross multiply
    291,293.06x = 436,986.57 × 86,148.50
  4. Step 4: Simplify right side
    291,293.06x = 37,645,737,525.65
  5. Step 5: Solve for x
    x = 37,645,737,525.65/291,293.06
  6. Step 6: Final answer
    x = 129,236.64

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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.