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Finding the Fourth Proportional to 86,057.52, 128,969.64 and 41,595.81

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Solution

The fourth proportional to 86,057.52, 128,969.64 and 41,595.81 is: 62,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,057.52 : 128,969.64 = 41,595.81 : x
  2. Step 2: Convert to fraction form
    86,057.52/128,969.64 = 41,595.81/x
  3. Step 3: Cross multiply
    86,057.52x = 128,969.64 × 41,595.81
  4. Step 4: Simplify right side
    86,057.52x = 5,364,596,641.21
  5. Step 5: Solve for x
    x = 5,364,596,641.21/86,057.52
  6. Step 6: Final answer
    x = 62,337.34

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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.