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Finding the Fourth Proportional to 78,602.85, 117,830.16 and 39,122.64

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Solution

The fourth proportional to 78,602.85, 117,830.16 and 39,122.64 is: 58,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.85 : 117,830.16 = 39,122.64 : x
  2. Step 2: Convert to fraction form
    78,602.85/117,830.16 = 39,122.64/x
  3. Step 3: Cross multiply
    78,602.85x = 117,830.16 × 39,122.64
  4. Step 4: Simplify right side
    78,602.85x = 4,609,826,930.82
  5. Step 5: Solve for x
    x = 4,609,826,930.82/78,602.85
  6. Step 6: Final answer
    x = 58,647.07

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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.