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Finding the Fourth Proportional to 82,405.52, 123,509.40 and 37,971.28

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Solution

The fourth proportional to 82,405.52, 123,509.40 and 37,971.28 is: 56,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.52 : 123,509.40 = 37,971.28 : x
  2. Step 2: Convert to fraction form
    82,405.52/123,509.40 = 37,971.28/x
  3. Step 3: Cross multiply
    82,405.52x = 123,509.40 × 37,971.28
  4. Step 4: Simplify right side
    82,405.52x = 4,689,810,010.03
  5. Step 5: Solve for x
    x = 4,689,810,010.03/82,405.52
  6. Step 6: Final answer
    x = 56,911.36

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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.