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Finding the Fourth Proportional to 261,486.96, 392,440.60 and 135,164.20

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Solution

The fourth proportional to 261,486.96, 392,440.60 and 135,164.20 is: 202,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,486.96 : 392,440.60 = 135,164.20 : x
  2. Step 2: Convert to fraction form
    261,486.96/392,440.60 = 135,164.20/x
  3. Step 3: Cross multiply
    261,486.96x = 392,440.60 × 135,164.20
  4. Step 4: Simplify right side
    261,486.96x = 53,043,919,746.52
  5. Step 5: Solve for x
    x = 53,043,919,746.52/261,486.96
  6. Step 6: Final answer
    x = 202,854.93

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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.