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Finding the Fourth Proportional to 78,405.58, 117,015.86 and 70,838.80

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Solution

The fourth proportional to 78,405.58, 117,015.86 and 70,838.80 is: 105,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.58 : 117,015.86 = 70,838.80 : x
  2. Step 2: Convert to fraction form
    78,405.58/117,015.86 = 70,838.80/x
  3. Step 3: Cross multiply
    78,405.58x = 117,015.86 × 70,838.80
  4. Step 4: Simplify right side
    78,405.58x = 8,289,262,164.09
  5. Step 5: Solve for x
    x = 8,289,262,164.09/78,405.58
  6. Step 6: Final answer
    x = 105,722.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.