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Finding the Fourth Proportional to 78,137.87, 117,206.29 and 18,973.14

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Solution

The fourth proportional to 78,137.87, 117,206.29 and 18,973.14 is: 28,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.87 : 117,206.29 = 18,973.14 : x
  2. Step 2: Convert to fraction form
    78,137.87/117,206.29 = 18,973.14/x
  3. Step 3: Cross multiply
    78,137.87x = 117,206.29 × 18,973.14
  4. Step 4: Simplify right side
    78,137.87x = 2,223,770,763.02
  5. Step 5: Solve for x
    x = 2,223,770,763.02/78,137.87
  6. Step 6: Final answer
    x = 28,459.58

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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.