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Finding the Fourth Proportional to 208,314.60, 312,714.90 and 108,587.40

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Solution

The fourth proportional to 208,314.60, 312,714.90 and 108,587.40 is: 163,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314.60 : 312,714.90 = 108,587.40 : x
  2. Step 2: Convert to fraction form
    208,314.60/312,714.90 = 108,587.40/x
  3. Step 3: Cross multiply
    208,314.60x = 312,714.90 × 108,587.40
  4. Step 4: Simplify right side
    208,314.60x = 33,956,897,932.26
  5. Step 5: Solve for x
    x = 33,956,897,932.26/208,314.60
  6. Step 6: Final answer
    x = 163,007.77

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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.