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Finding the Fourth Proportional to 78,059.70, 117,089.82 and 18,895.28

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Solution

The fourth proportional to 78,059.70, 117,089.82 and 18,895.28 is: 28,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.70 : 117,089.82 = 18,895.28 : x
  2. Step 2: Convert to fraction form
    78,059.70/117,089.82 = 18,895.28/x
  3. Step 3: Cross multiply
    78,059.70x = 117,089.82 × 18,895.28
  4. Step 4: Simplify right side
    78,059.70x = 2,212,444,348.60
  5. Step 5: Solve for x
    x = 2,212,444,348.60/78,059.70
  6. Step 6: Final answer
    x = 28,342.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.