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Finding the Fourth Proportional to 78,775, 118,162.50 and 20,407

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Solution

The fourth proportional to 78,775, 118,162.50 and 20,407 is: 30,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775 : 118,162.50 = 20,407 : x
  2. Step 2: Convert to fraction form
    78,775/118,162.50 = 20,407/x
  3. Step 3: Cross multiply
    78,775x = 118,162.50 × 20,407
  4. Step 4: Simplify right side
    78,775x = 2,411,342,137.50
  5. Step 5: Solve for x
    x = 2,411,342,137.50/78,775
  6. Step 6: Final answer
    x = 30,610.50

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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.