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Finding the Fourth Proportional to 105,565.84, 145,675.44 and 57,809.96

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Solution

The fourth proportional to 105,565.84, 145,675.44 and 57,809.96 is: 79,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,565.84 : 145,675.44 = 57,809.96 : x
  2. Step 2: Convert to fraction form
    105,565.84/145,675.44 = 57,809.96/x
  3. Step 3: Cross multiply
    105,565.84x = 145,675.44 × 57,809.96
  4. Step 4: Simplify right side
    105,565.84x = 8,421,491,359.38
  5. Step 5: Solve for x
    x = 8,421,491,359.38/105,565.84
  6. Step 6: Final answer
    x = 79,774.78

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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.