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Finding the Fourth Proportional to 100,425.76, 150,483.04 and 63,412

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Solution

The fourth proportional to 100,425.76, 150,483.04 and 63,412 is: 95,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,425.76 : 150,483.04 = 63,412 : x
  2. Step 2: Convert to fraction form
    100,425.76/150,483.04 = 63,412/x
  3. Step 3: Cross multiply
    100,425.76x = 150,483.04 × 63,412
  4. Step 4: Simplify right side
    100,425.76x = 9,542,430,532.48
  5. Step 5: Solve for x
    x = 9,542,430,532.48/100,425.76
  6. Step 6: Final answer
    x = 95,019.75

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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.