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Finding the Fourth Proportional to 86,600, 119,431.41 and 56,357.48

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Solution

The fourth proportional to 86,600, 119,431.41 and 56,357.48 is: 77,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,600 : 119,431.41 = 56,357.48 : x
  2. Step 2: Convert to fraction form
    86,600/119,431.41 = 56,357.48/x
  3. Step 3: Cross multiply
    86,600x = 119,431.41 × 56,357.48
  4. Step 4: Simplify right side
    86,600x = 6,730,853,300.45
  5. Step 5: Solve for x
    x = 6,730,853,300.45/86,600
  6. Step 6: Final answer
    x = 77,723.48

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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.