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Finding the Fourth Proportional to 78,539.58, 117,809.70 and 28,619.70

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Solution

The fourth proportional to 78,539.58, 117,809.70 and 28,619.70 is: 42,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,539.58 : 117,809.70 = 28,619.70 : x
  2. Step 2: Convert to fraction form
    78,539.58/117,809.70 = 28,619.70/x
  3. Step 3: Cross multiply
    78,539.58x = 117,809.70 × 28,619.70
  4. Step 4: Simplify right side
    78,539.58x = 3,371,678,271.09
  5. Step 5: Solve for x
    x = 3,371,678,271.09/78,539.58
  6. Step 6: Final answer
    x = 42,929.67

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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.