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Finding the Fourth Proportional to 107,966.58, 149,041.66 and 69,744.77

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Solution

The fourth proportional to 107,966.58, 149,041.66 and 69,744.77 is: 96,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,966.58 : 149,041.66 = 69,744.77 : x
  2. Step 2: Convert to fraction form
    107,966.58/149,041.66 = 69,744.77/x
  3. Step 3: Cross multiply
    107,966.58x = 149,041.66 × 69,744.77
  4. Step 4: Simplify right side
    107,966.58x = 10,394,875,648.05
  5. Step 5: Solve for x
    x = 10,394,875,648.05/107,966.58
  6. Step 6: Final answer
    x = 96,278.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.