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Finding the Fourth Proportional to 99,280.02, 137,007.48 and 53,958

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Solution

The fourth proportional to 99,280.02, 137,007.48 and 53,958 is: 74,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,280.02 : 137,007.48 = 53,958 : x
  2. Step 2: Convert to fraction form
    99,280.02/137,007.48 = 53,958/x
  3. Step 3: Cross multiply
    99,280.02x = 137,007.48 × 53,958
  4. Step 4: Simplify right side
    99,280.02x = 7,392,649,605.84
  5. Step 5: Solve for x
    x = 7,392,649,605.84/99,280.02
  6. Step 6: Final answer
    x = 74,462.61

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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.