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Finding the Fourth Proportional to 78,379.88, 108,165.02 and 42,570.59

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Solution

The fourth proportional to 78,379.88, 108,165.02 and 42,570.59 is: 58,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379.88 : 108,165.02 = 42,570.59 : x
  2. Step 2: Convert to fraction form
    78,379.88/108,165.02 = 42,570.59/x
  3. Step 3: Cross multiply
    78,379.88x = 108,165.02 × 42,570.59
  4. Step 4: Simplify right side
    78,379.88x = 4,604,648,505.91
  5. Step 5: Solve for x
    x = 4,604,648,505.91/78,379.88
  6. Step 6: Final answer
    x = 58,747.84

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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.