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Finding the Fourth Proportional to 99,406.64, 149,157.80 and 49,491.10

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Solution

The fourth proportional to 99,406.64, 149,157.80 and 49,491.10 is: 74,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,406.64 : 149,157.80 = 49,491.10 : x
  2. Step 2: Convert to fraction form
    99,406.64/149,157.80 = 49,491.10/x
  3. Step 3: Cross multiply
    99,406.64x = 149,157.80 × 49,491.10
  4. Step 4: Simplify right side
    99,406.64x = 7,381,983,998.55
  5. Step 5: Solve for x
    x = 7,381,983,998.55/99,406.64
  6. Step 6: Final answer
    x = 74,260.47

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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.