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Finding the Fourth Proportional to 99,310.46, 137,051.08 and 53,991.47

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Solution

The fourth proportional to 99,310.46, 137,051.08 and 53,991.47 is: 74,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,310.46 : 137,051.08 = 53,991.47 : x
  2. Step 2: Convert to fraction form
    99,310.46/137,051.08 = 53,991.47/x
  3. Step 3: Cross multiply
    99,310.46x = 137,051.08 × 53,991.47
  4. Step 4: Simplify right side
    99,310.46x = 7,399,589,274.29
  5. Step 5: Solve for x
    x = 7,399,589,274.29/99,310.46
  6. Step 6: Final answer
    x = 74,509.67

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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.