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Finding the Fourth Proportional to 78,328.88, 117,495.59 and 19,164.53

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Solution

The fourth proportional to 78,328.88, 117,495.59 and 19,164.53 is: 28,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,328.88 : 117,495.59 = 19,164.53 : x
  2. Step 2: Convert to fraction form
    78,328.88/117,495.59 = 19,164.53/x
  3. Step 3: Cross multiply
    78,328.88x = 117,495.59 × 19,164.53
  4. Step 4: Simplify right side
    78,328.88x = 2,251,747,076.12
  5. Step 5: Solve for x
    x = 2,251,747,076.12/78,328.88
  6. Step 6: Final answer
    x = 28,747.34

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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.