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Finding the Fourth Proportional to 99,410.80, 149,164.80 and 46,811.20

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Solution

The fourth proportional to 99,410.80, 149,164.80 and 46,811.20 is: 70,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,410.80 : 149,164.80 = 46,811.20 : x
  2. Step 2: Convert to fraction form
    99,410.80/149,164.80 = 46,811.20/x
  3. Step 3: Cross multiply
    99,410.80x = 149,164.80 × 46,811.20
  4. Step 4: Simplify right side
    99,410.80x = 6,982,583,285.76
  5. Step 5: Solve for x
    x = 6,982,583,285.76/99,410.80
  6. Step 6: Final answer
    x = 70,239.69

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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.