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Finding the Fourth Proportional to 78,167.82, 117,267.99 and 31,420.71

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Solution

The fourth proportional to 78,167.82, 117,267.99 and 31,420.71 is: 47,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,167.82 : 117,267.99 = 31,420.71 : x
  2. Step 2: Convert to fraction form
    78,167.82/117,267.99 = 31,420.71/x
  3. Step 3: Cross multiply
    78,167.82x = 117,267.99 × 31,420.71
  4. Step 4: Simplify right side
    78,167.82x = 3,684,643,506.07
  5. Step 5: Solve for x
    x = 3,684,643,506.07/78,167.82
  6. Step 6: Final answer
    x = 47,137.60

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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.