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Finding the Fourth Proportional to 99,285.91, 137,015.47 and 53,964

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Solution

The fourth proportional to 99,285.91, 137,015.47 and 53,964 is: 74,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,285.91 : 137,015.47 = 53,964 : x
  2. Step 2: Convert to fraction form
    99,285.91/137,015.47 = 53,964/x
  3. Step 3: Cross multiply
    99,285.91x = 137,015.47 × 53,964
  4. Step 4: Simplify right side
    99,285.91x = 7,393,902,890.54
  5. Step 5: Solve for x
    x = 7,393,902,890.54/99,285.91
  6. Step 6: Final answer
    x = 74,470.82

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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.