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Finding the Fourth Proportional to 78,477.50, 117,716.26 and 20,109.50

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Solution

The fourth proportional to 78,477.50, 117,716.26 and 20,109.50 is: 30,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,477.50 : 117,716.26 = 20,109.50 : x
  2. Step 2: Convert to fraction form
    78,477.50/117,716.26 = 20,109.50/x
  3. Step 3: Cross multiply
    78,477.50x = 117,716.26 × 20,109.50
  4. Step 4: Simplify right side
    78,477.50x = 2,367,215,130.47
  5. Step 5: Solve for x
    x = 2,367,215,130.47/78,477.50
  6. Step 6: Final answer
    x = 30,164.25

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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.