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Finding the Fourth Proportional to 78,342.80, 117,564.60 and 43,307.60

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Solution

The fourth proportional to 78,342.80, 117,564.60 and 43,307.60 is: 64,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.80 : 117,564.60 = 43,307.60 : x
  2. Step 2: Convert to fraction form
    78,342.80/117,564.60 = 43,307.60/x
  3. Step 3: Cross multiply
    78,342.80x = 117,564.60 × 43,307.60
  4. Step 4: Simplify right side
    78,342.80x = 5,091,440,670.96
  5. Step 5: Solve for x
    x = 5,091,440,670.96/78,342.80
  6. Step 6: Final answer
    x = 64,989.26

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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.