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Finding the Fourth Proportional to 86,456.84, 129,698.66 and 36,537.14

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Solution

The fourth proportional to 86,456.84, 129,698.66 and 36,537.14 is: 54,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,456.84 : 129,698.66 = 36,537.14 : x
  2. Step 2: Convert to fraction form
    86,456.84/129,698.66 = 36,537.14/x
  3. Step 3: Cross multiply
    86,456.84x = 129,698.66 × 36,537.14
  4. Step 4: Simplify right side
    86,456.84x = 4,738,818,513.82
  5. Step 5: Solve for x
    x = 4,738,818,513.82/86,456.84
  6. Step 6: Final answer
    x = 54,811.38

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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.