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Finding the Fourth Proportional to 78,856.41, 118,284 and 19,691.68

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Solution

The fourth proportional to 78,856.41, 118,284 and 19,691.68 is: 29,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,856.41 : 118,284 = 19,691.68 : x
  2. Step 2: Convert to fraction form
    78,856.41/118,284 = 19,691.68/x
  3. Step 3: Cross multiply
    78,856.41x = 118,284 × 19,691.68
  4. Step 4: Simplify right side
    78,856.41x = 2,329,210,677.12
  5. Step 5: Solve for x
    x = 2,329,210,677.12/78,856.41
  6. Step 6: Final answer
    x = 29,537.37

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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.