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Finding the Fourth Proportional to 55,141.50, 76,095.36 and 29,991

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Solution

The fourth proportional to 55,141.50, 76,095.36 and 29,991 is: 41,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,141.50 : 76,095.36 = 29,991 : x
  2. Step 2: Convert to fraction form
    55,141.50/76,095.36 = 29,991/x
  3. Step 3: Cross multiply
    55,141.50x = 76,095.36 × 29,991
  4. Step 4: Simplify right side
    55,141.50x = 2,282,175,941.76
  5. Step 5: Solve for x
    x = 2,282,175,941.76/55,141.50
  6. Step 6: Final answer
    x = 41,387.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.