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Finding the Fourth Proportional to 78,426, 117,572.85 and 34,019.31

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Solution

The fourth proportional to 78,426, 117,572.85 and 34,019.31 is: 51,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,426 : 117,572.85 = 34,019.31 : x
  2. Step 2: Convert to fraction form
    78,426/117,572.85 = 34,019.31/x
  3. Step 3: Cross multiply
    78,426x = 117,572.85 × 34,019.31
  4. Step 4: Simplify right side
    78,426x = 3,999,747,231.73
  5. Step 5: Solve for x
    x = 3,999,747,231.73/78,426
  6. Step 6: Final answer
    x = 51,000.27

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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.