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Finding the Fourth Proportional to 208,732.60, 312,638.10 and 84,009.40

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Solution

The fourth proportional to 208,732.60, 312,638.10 and 84,009.40 is: 125,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732.60 : 312,638.10 = 84,009.40 : x
  2. Step 2: Convert to fraction form
    208,732.60/312,638.10 = 84,009.40/x
  3. Step 3: Cross multiply
    208,732.60x = 312,638.10 × 84,009.40
  4. Step 4: Simplify right side
    208,732.60x = 26,264,539,198.14
  5. Step 5: Solve for x
    x = 26,264,539,198.14/208,732.60
  6. Step 6: Final answer
    x = 125,828.64

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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.