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Finding the Fourth Proportional to 78,068, 116,444.08 and 65,441.60

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Solution

The fourth proportional to 78,068, 116,444.08 and 65,441.60 is: 97,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068 : 116,444.08 = 65,441.60 : x
  2. Step 2: Convert to fraction form
    78,068/116,444.08 = 65,441.60/x
  3. Step 3: Cross multiply
    78,068x = 116,444.08 × 65,441.60
  4. Step 4: Simplify right side
    78,068x = 7,620,286,905.73
  5. Step 5: Solve for x
    x = 7,620,286,905.73/78,068
  6. Step 6: Final answer
    x = 97,610.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.