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Finding the Fourth Proportional to 78,420.70, 117,564.92 and 34,014.00

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Solution

The fourth proportional to 78,420.70, 117,564.92 and 34,014.00 is: 50,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.70 : 117,564.92 = 34,014.00 : x
  2. Step 2: Convert to fraction form
    78,420.70/117,564.92 = 34,014.00/x
  3. Step 3: Cross multiply
    78,420.70x = 117,564.92 × 34,014.00
  4. Step 4: Simplify right side
    78,420.70x = 3,998,853,587.23
  5. Step 5: Solve for x
    x = 3,998,853,587.23/78,420.70
  6. Step 6: Final answer
    x = 50,992.32

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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.