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Finding the Fourth Proportional to 99,461.84, 149,039.58 and 46,121

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Solution

The fourth proportional to 99,461.84, 149,039.58 and 46,121 is: 69,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,461.84 : 149,039.58 = 46,121 : x
  2. Step 2: Convert to fraction form
    99,461.84/149,039.58 = 46,121/x
  3. Step 3: Cross multiply
    99,461.84x = 149,039.58 × 46,121
  4. Step 4: Simplify right side
    99,461.84x = 6,873,854,469.18
  5. Step 5: Solve for x
    x = 6,873,854,469.18/99,461.84
  6. Step 6: Final answer
    x = 69,110.47

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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.