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Finding the Fourth Proportional to 78,653.24, 117,981.90 and 19,488.05

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Solution

The fourth proportional to 78,653.24, 117,981.90 and 19,488.05 is: 29,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653.24 : 117,981.90 = 19,488.05 : x
  2. Step 2: Convert to fraction form
    78,653.24/117,981.90 = 19,488.05/x
  3. Step 3: Cross multiply
    78,653.24x = 117,981.90 × 19,488.05
  4. Step 4: Simplify right side
    78,653.24x = 2,299,236,576.39
  5. Step 5: Solve for x
    x = 2,299,236,576.39/78,653.24
  6. Step 6: Final answer
    x = 29,232.57

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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.