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Finding the Fourth Proportional to 72,829.88, 109,270.94 and 28,488.45

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Solution

The fourth proportional to 72,829.88, 109,270.94 and 28,488.45 is: 42,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829.88 : 109,270.94 = 28,488.45 : x
  2. Step 2: Convert to fraction form
    72,829.88/109,270.94 = 28,488.45/x
  3. Step 3: Cross multiply
    72,829.88x = 109,270.94 × 28,488.45
  4. Step 4: Simplify right side
    72,829.88x = 3,112,959,710.64
  5. Step 5: Solve for x
    x = 3,112,959,710.64/72,829.88
  6. Step 6: Final answer
    x = 42,742.89

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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.