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Finding the Fourth Proportional to 78,167.67, 117,256.95 and 31,420.50

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Solution

The fourth proportional to 78,167.67, 117,256.95 and 31,420.50 is: 47,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,167.67 : 117,256.95 = 31,420.50 : x
  2. Step 2: Convert to fraction form
    78,167.67/117,256.95 = 31,420.50/x
  3. Step 3: Cross multiply
    78,167.67x = 117,256.95 × 31,420.50
  4. Step 4: Simplify right side
    78,167.67x = 3,684,271,997.48
  5. Step 5: Solve for x
    x = 3,684,271,997.48/78,167.67
  6. Step 6: Final answer
    x = 47,132.94

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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.