Home / 51,144-76,542.24-31,412.16

Finding the Fourth Proportional to 51,144, 76,542.24 and 31,412.16

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Solution

The fourth proportional to 51,144, 76,542.24 and 31,412.16 is: 47,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,144 : 76,542.24 = 31,412.16 : x
  2. Step 2: Convert to fraction form
    51,144/76,542.24 = 31,412.16/x
  3. Step 3: Cross multiply
    51,144x = 76,542.24 × 31,412.16
  4. Step 4: Simplify right side
    51,144x = 2,404,357,089.64
  5. Step 5: Solve for x
    x = 2,404,357,089.64/51,144
  6. Step 6: Final answer
    x = 47,011.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.