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Finding the Fourth Proportional to 86,854.86, 130,183.47 and 36,903.78

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Solution

The fourth proportional to 86,854.86, 130,183.47 and 36,903.78 is: 55,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,854.86 : 130,183.47 = 36,903.78 : x
  2. Step 2: Convert to fraction form
    86,854.86/130,183.47 = 36,903.78/x
  3. Step 3: Cross multiply
    86,854.86x = 130,183.47 × 36,903.78
  4. Step 4: Simplify right side
    86,854.86x = 4,804,262,136.52
  5. Step 5: Solve for x
    x = 4,804,262,136.52/86,854.86
  6. Step 6: Final answer
    x = 55,313.68

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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.