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Finding the Fourth Proportional to 86,104.32, 129,133.05 and 54,466.89

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Solution

The fourth proportional to 86,104.32, 129,133.05 and 54,466.89 is: 81,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,104.32 : 129,133.05 = 54,466.89 : x
  2. Step 2: Convert to fraction form
    86,104.32/129,133.05 = 54,466.89/x
  3. Step 3: Cross multiply
    86,104.32x = 129,133.05 × 54,466.89
  4. Step 4: Simplify right side
    86,104.32x = 7,033,475,629.71
  5. Step 5: Solve for x
    x = 7,033,475,629.71/86,104.32
  6. Step 6: Final answer
    x = 81,685.51

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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.