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Finding the Fourth Proportional to 208,728.60, 312,632.10 and 84,005.40

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Solution

The fourth proportional to 208,728.60, 312,632.10 and 84,005.40 is: 125,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,728.60 : 312,632.10 = 84,005.40 : x
  2. Step 2: Convert to fraction form
    208,728.60/312,632.10 = 84,005.40/x
  3. Step 3: Cross multiply
    208,728.60x = 312,632.10 × 84,005.40
  4. Step 4: Simplify right side
    208,728.60x = 26,262,784,613.34
  5. Step 5: Solve for x
    x = 26,262,784,613.34/208,728.60
  6. Step 6: Final answer
    x = 125,822.65

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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.