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Finding the Fourth Proportional to 78,430, 117,578.85 and 34,023.31

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Solution

The fourth proportional to 78,430, 117,578.85 and 34,023.31 is: 51,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,430 : 117,578.85 = 34,023.31 : x
  2. Step 2: Convert to fraction form
    78,430/117,578.85 = 34,023.31/x
  3. Step 3: Cross multiply
    78,430x = 117,578.85 × 34,023.31
  4. Step 4: Simplify right side
    78,430x = 4,000,421,662.99
  5. Step 5: Solve for x
    x = 4,000,421,662.99/78,430
  6. Step 6: Final answer
    x = 51,006.27

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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.