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Finding the Fourth Proportional to 72,780, 109,187.28 and 23,532

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Solution

The fourth proportional to 72,780, 109,187.28 and 23,532 is: 35,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,780 : 109,187.28 = 23,532 : x
  2. Step 2: Convert to fraction form
    72,780/109,187.28 = 23,532/x
  3. Step 3: Cross multiply
    72,780x = 109,187.28 × 23,532
  4. Step 4: Simplify right side
    72,780x = 2,569,395,072.96
  5. Step 5: Solve for x
    x = 2,569,395,072.96/72,780
  6. Step 6: Final answer
    x = 35,303.59

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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.