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Finding the Fourth Proportional to 78,014.51, 116,950.68 and 28,082.87

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Solution

The fourth proportional to 78,014.51, 116,950.68 and 28,082.87 is: 42,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.51 : 116,950.68 = 28,082.87 : x
  2. Step 2: Convert to fraction form
    78,014.51/116,950.68 = 28,082.87/x
  3. Step 3: Cross multiply
    78,014.51x = 116,950.68 × 28,082.87
  4. Step 4: Simplify right side
    78,014.51x = 3,284,310,742.85
  5. Step 5: Solve for x
    x = 3,284,310,742.85/78,014.51
  6. Step 6: Final answer
    x = 42,098.72

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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.