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Finding the Fourth Proportional to 100,158.70, 150,218.88 and 30,038.02

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Solution

The fourth proportional to 100,158.70, 150,218.88 and 30,038.02 is: 45,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,158.70 : 150,218.88 = 30,038.02 : x
  2. Step 2: Convert to fraction form
    100,158.70/150,218.88 = 30,038.02/x
  3. Step 3: Cross multiply
    100,158.70x = 150,218.88 × 30,038.02
  4. Step 4: Simplify right side
    100,158.70x = 4,512,277,721.82
  5. Step 5: Solve for x
    x = 4,512,277,721.82/100,158.70
  6. Step 6: Final answer
    x = 45,051.28

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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.