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Finding the Fourth Proportional to 78,431.76, 117,670.72 and 28,511.07

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Solution

The fourth proportional to 78,431.76, 117,670.72 and 28,511.07 is: 42,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.76 : 117,670.72 = 28,511.07 : x
  2. Step 2: Convert to fraction form
    78,431.76/117,670.72 = 28,511.07/x
  3. Step 3: Cross multiply
    78,431.76x = 117,670.72 × 28,511.07
  4. Step 4: Simplify right side
    78,431.76x = 3,354,918,134.87
  5. Step 5: Solve for x
    x = 3,354,918,134.87/78,431.76
  6. Step 6: Final answer
    x = 42,774.99

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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.