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Finding the Fourth Proportional to 103,148.20, 154,430.70 and 100,232.20

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Solution

The fourth proportional to 103,148.20, 154,430.70 and 100,232.20 is: 150,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,148.20 : 154,430.70 = 100,232.20 : x
  2. Step 2: Convert to fraction form
    103,148.20/154,430.70 = 100,232.20/x
  3. Step 3: Cross multiply
    103,148.20x = 154,430.70 × 100,232.20
  4. Step 4: Simplify right side
    103,148.20x = 15,478,928,808.54
  5. Step 5: Solve for x
    x = 15,478,928,808.54/103,148.20
  6. Step 6: Final answer
    x = 150,064.94

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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.