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Finding the Fourth Proportional to 75,340.30, 103,943.80 and 43,051.72

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Solution

The fourth proportional to 75,340.30, 103,943.80 and 43,051.72 is: 59,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.30 : 103,943.80 = 43,051.72 : x
  2. Step 2: Convert to fraction form
    75,340.30/103,943.80 = 43,051.72/x
  3. Step 3: Cross multiply
    75,340.30x = 103,943.80 × 43,051.72
  4. Step 4: Simplify right side
    75,340.30x = 4,474,959,373.34
  5. Step 5: Solve for x
    x = 4,474,959,373.34/75,340.30
  6. Step 6: Final answer
    x = 59,396.62

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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.