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Finding the Fourth Proportional to 78,420.80, 117,631.20 and 53,537.60

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Solution

The fourth proportional to 78,420.80, 117,631.20 and 53,537.60 is: 80,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.80 : 117,631.20 = 53,537.60 : x
  2. Step 2: Convert to fraction form
    78,420.80/117,631.20 = 53,537.60/x
  3. Step 3: Cross multiply
    78,420.80x = 117,631.20 × 53,537.60
  4. Step 4: Simplify right side
    78,420.80x = 6,297,692,133.12
  5. Step 5: Solve for x
    x = 6,297,692,133.12/78,420.80
  6. Step 6: Final answer
    x = 80,306.40

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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.