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Finding the Fourth Proportional to 86,534, 119,429.88 and 53,019.44

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Solution

The fourth proportional to 86,534, 119,429.88 and 53,019.44 is: 73,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,534 : 119,429.88 = 53,019.44 : x
  2. Step 2: Convert to fraction form
    86,534/119,429.88 = 53,019.44/x
  3. Step 3: Cross multiply
    86,534x = 119,429.88 × 53,019.44
  4. Step 4: Simplify right side
    86,534x = 6,332,105,356.87
  5. Step 5: Solve for x
    x = 6,332,105,356.87/86,534
  6. Step 6: Final answer
    x = 73,174.77

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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.