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Finding the Fourth Proportional to 350,112, 525,168.64 and 87,456

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Solution

The fourth proportional to 350,112, 525,168.64 and 87,456 is: 131,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,112 : 525,168.64 = 87,456 : x
  2. Step 2: Convert to fraction form
    350,112/525,168.64 = 87,456/x
  3. Step 3: Cross multiply
    350,112x = 525,168.64 × 87,456
  4. Step 4: Simplify right side
    350,112x = 45,929,148,579.84
  5. Step 5: Solve for x
    x = 45,929,148,579.84/350,112
  6. Step 6: Final answer
    x = 131,184.16

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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.