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Finding the Fourth Proportional to 99,308.46, 137,048.32 and 53,989.47

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Solution

The fourth proportional to 99,308.46, 137,048.32 and 53,989.47 is: 74,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,308.46 : 137,048.32 = 53,989.47 : x
  2. Step 2: Convert to fraction form
    99,308.46/137,048.32 = 53,989.47/x
  3. Step 3: Cross multiply
    99,308.46x = 137,048.32 × 53,989.47
  4. Step 4: Simplify right side
    99,308.46x = 7,399,166,228.68
  5. Step 5: Solve for x
    x = 7,399,166,228.68/99,308.46
  6. Step 6: Final answer
    x = 74,506.90

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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.