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Finding the Fourth Proportional to 76,675.05, 105,809.22 and 42,681.78

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Solution

The fourth proportional to 76,675.05, 105,809.22 and 42,681.78 is: 58,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.05 : 105,809.22 = 42,681.78 : x
  2. Step 2: Convert to fraction form
    76,675.05/105,809.22 = 42,681.78/x
  3. Step 3: Cross multiply
    76,675.05x = 105,809.22 × 42,681.78
  4. Step 4: Simplify right side
    76,675.05x = 4,516,125,850.01
  5. Step 5: Solve for x
    x = 4,516,125,850.01/76,675.05
  6. Step 6: Final answer
    x = 58,899.55

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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.