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Finding the Fourth Proportional to 50,590.66, 75,905.70 and 21,001

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Solution

The fourth proportional to 50,590.66, 75,905.70 and 21,001 is: 31,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,590.66 : 75,905.70 = 21,001 : x
  2. Step 2: Convert to fraction form
    50,590.66/75,905.70 = 21,001/x
  3. Step 3: Cross multiply
    50,590.66x = 75,905.70 × 21,001
  4. Step 4: Simplify right side
    50,590.66x = 1,594,095,605.70
  5. Step 5: Solve for x
    x = 1,594,095,605.70/50,590.66
  6. Step 6: Final answer
    x = 31,509.68

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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.