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Finding the Fourth Proportional to 261,289.72, 392,022.06 and 103,563.28

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Solution

The fourth proportional to 261,289.72, 392,022.06 and 103,563.28 is: 155,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,289.72 : 392,022.06 = 103,563.28 : x
  2. Step 2: Convert to fraction form
    261,289.72/392,022.06 = 103,563.28/x
  3. Step 3: Cross multiply
    261,289.72x = 392,022.06 × 103,563.28
  4. Step 4: Simplify right side
    261,289.72x = 40,599,090,365.96
  5. Step 5: Solve for x
    x = 40,599,090,365.96/261,289.72
  6. Step 6: Final answer
    x = 155,379.59

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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.