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Finding the Fourth Proportional to 205,376.60, 307,931.70 and 87,015.80

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Solution

The fourth proportional to 205,376.60, 307,931.70 and 87,015.80 is: 130,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.60 : 307,931.70 = 87,015.80 : x
  2. Step 2: Convert to fraction form
    205,376.60/307,931.70 = 87,015.80/x
  3. Step 3: Cross multiply
    205,376.60x = 307,931.70 × 87,015.80
  4. Step 4: Simplify right side
    205,376.60x = 26,794,923,220.86
  5. Step 5: Solve for x
    x = 26,794,923,220.86/205,376.60
  6. Step 6: Final answer
    x = 130,467.26

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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.