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Finding the Fourth Proportional to 100,101.60, 150,152.40 and 98,133.30

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Solution

The fourth proportional to 100,101.60, 150,152.40 and 98,133.30 is: 147,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,101.60 : 150,152.40 = 98,133.30 : x
  2. Step 2: Convert to fraction form
    100,101.60/150,152.40 = 98,133.30/x
  3. Step 3: Cross multiply
    100,101.60x = 150,152.40 × 98,133.30
  4. Step 4: Simplify right side
    100,101.60x = 14,734,950,514.92
  5. Step 5: Solve for x
    x = 14,734,950,514.92/100,101.60
  6. Step 6: Final answer
    x = 147,199.95

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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.