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Finding the Fourth Proportional to 78,460.44, 117,646.35 and 71,765.54

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Solution

The fourth proportional to 78,460.44, 117,646.35 and 71,765.54 is: 107,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460.44 : 117,646.35 = 71,765.54 : x
  2. Step 2: Convert to fraction form
    78,460.44/117,646.35 = 71,765.54/x
  3. Step 3: Cross multiply
    78,460.44x = 117,646.35 × 71,765.54
  4. Step 4: Simplify right side
    78,460.44x = 8,442,953,248.55
  5. Step 5: Solve for x
    x = 8,442,953,248.55/78,460.44
  6. Step 6: Final answer
    x = 107,607.77

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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.