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Finding the Fourth Proportional to 105,565.41, 145,674.81 and 57,809.54

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Solution

The fourth proportional to 105,565.41, 145,674.81 and 57,809.54 is: 79,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,565.41 : 145,674.81 = 57,809.54 : x
  2. Step 2: Convert to fraction form
    105,565.41/145,674.81 = 57,809.54/x
  3. Step 3: Cross multiply
    105,565.41x = 145,674.81 × 57,809.54
  4. Step 4: Simplify right side
    105,565.41x = 8,421,394,119.87
  5. Step 5: Solve for x
    x = 8,421,394,119.87/105,565.41
  6. Step 6: Final answer
    x = 79,774.18

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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.