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Finding the Fourth Proportional to 78,136.87, 117,204.79 and 18,972.14

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Solution

The fourth proportional to 78,136.87, 117,204.79 and 18,972.14 is: 28,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,136.87 : 117,204.79 = 18,972.14 : x
  2. Step 2: Convert to fraction form
    78,136.87/117,204.79 = 18,972.14/x
  3. Step 3: Cross multiply
    78,136.87x = 117,204.79 × 18,972.14
  4. Step 4: Simplify right side
    78,136.87x = 2,223,625,291.51
  5. Step 5: Solve for x
    x = 2,223,625,291.51/78,136.87
  6. Step 6: Final answer
    x = 28,458.08

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1.5x scale

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.