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Finding the Fourth Proportional to 261,664.40, 392,496.60 and 137,043.60

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Solution

The fourth proportional to 261,664.40, 392,496.60 and 137,043.60 is: 205,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,664.40 : 392,496.60 = 137,043.60 : x
  2. Step 2: Convert to fraction form
    261,664.40/392,496.60 = 137,043.60/x
  3. Step 3: Cross multiply
    261,664.40x = 392,496.60 × 137,043.60
  4. Step 4: Simplify right side
    261,664.40x = 53,789,147,051.76
  5. Step 5: Solve for x
    x = 53,789,147,051.76/261,664.40
  6. Step 6: Final answer
    x = 205,565.40

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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.