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Finding the Fourth Proportional to 78,071.79, 117,035.93 and 28,139.67

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Solution

The fourth proportional to 78,071.79, 117,035.93 and 28,139.67 is: 42,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,071.79 : 117,035.93 = 28,139.67 : x
  2. Step 2: Convert to fraction form
    78,071.79/117,035.93 = 28,139.67/x
  3. Step 3: Cross multiply
    78,071.79x = 117,035.93 × 28,139.67
  4. Step 4: Simplify right side
    78,071.79x = 3,293,352,518.69
  5. Step 5: Solve for x
    x = 3,293,352,518.69/78,071.79
  6. Step 6: Final answer
    x = 42,183.64

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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.