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Finding the Fourth Proportional to 76,858.40, 115,309.93 and 31,871.51

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Solution

The fourth proportional to 76,858.40, 115,309.93 and 31,871.51 is: 47,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.40 : 115,309.93 = 31,871.51 : x
  2. Step 2: Convert to fraction form
    76,858.40/115,309.93 = 31,871.51/x
  3. Step 3: Cross multiply
    76,858.40x = 115,309.93 × 31,871.51
  4. Step 4: Simplify right side
    76,858.40x = 3,675,101,423.04
  5. Step 5: Solve for x
    x = 3,675,101,423.04/76,858.40
  6. Step 6: Final answer
    x = 47,816.52

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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.