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Finding the Fourth Proportional to 78,049.61, 117,027 and 30,607.86

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Solution

The fourth proportional to 78,049.61, 117,027 and 30,607.86 is: 45,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.61 : 117,027 = 30,607.86 : x
  2. Step 2: Convert to fraction form
    78,049.61/117,027 = 30,607.86/x
  3. Step 3: Cross multiply
    78,049.61x = 117,027 × 30,607.86
  4. Step 4: Simplify right side
    78,049.61x = 3,581,946,032.22
  5. Step 5: Solve for x
    x = 3,581,946,032.22/78,049.61
  6. Step 6: Final answer
    x = 45,893.20

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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.