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Finding the Fourth Proportional to 261,760.30, 392,701.95 and 84,260.64

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Solution

The fourth proportional to 261,760.30, 392,701.95 and 84,260.64 is: 126,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,760.30 : 392,701.95 = 84,260.64 : x
  2. Step 2: Convert to fraction form
    261,760.30/392,701.95 = 84,260.64/x
  3. Step 3: Cross multiply
    261,760.30x = 392,701.95 × 84,260.64
  4. Step 4: Simplify right side
    261,760.30x = 33,089,317,636.25
  5. Step 5: Solve for x
    x = 33,089,317,636.25/261,760.30
  6. Step 6: Final answer
    x = 126,410.76

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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.