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Finding the Fourth Proportional to 76,064, 114,015.48 and 28,658.48

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Solution

The fourth proportional to 76,064, 114,015.48 and 28,658.48 is: 42,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,064 : 114,015.48 = 28,658.48 : x
  2. Step 2: Convert to fraction form
    76,064/114,015.48 = 28,658.48/x
  3. Step 3: Cross multiply
    76,064x = 114,015.48 × 28,658.48
  4. Step 4: Simplify right side
    76,064x = 3,267,510,353.27
  5. Step 5: Solve for x
    x = 3,267,510,353.27/76,064
  6. Step 6: Final answer
    x = 42,957.38

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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.