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Finding the Fourth Proportional to 99,477.36, 149,028.24 and 77,026.58

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Solution

The fourth proportional to 99,477.36, 149,028.24 and 77,026.58 is: 115,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,477.36 : 149,028.24 = 77,026.58 : x
  2. Step 2: Convert to fraction form
    99,477.36/149,028.24 = 77,026.58/x
  3. Step 3: Cross multiply
    99,477.36x = 149,028.24 × 77,026.58
  4. Step 4: Simplify right side
    99,477.36x = 11,479,135,650.62
  5. Step 5: Solve for x
    x = 11,479,135,650.62/99,477.36
  6. Step 6: Final answer
    x = 115,394.45

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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.