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Finding the Fourth Proportional to 86,045.36, 129,076 and 33,458.80

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Solution

The fourth proportional to 86,045.36, 129,076 and 33,458.80 is: 50,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,045.36 : 129,076 = 33,458.80 : x
  2. Step 2: Convert to fraction form
    86,045.36/129,076 = 33,458.80/x
  3. Step 3: Cross multiply
    86,045.36x = 129,076 × 33,458.80
  4. Step 4: Simplify right side
    86,045.36x = 4,318,728,068.80
  5. Step 5: Solve for x
    x = 4,318,728,068.80/86,045.36
  6. Step 6: Final answer
    x = 50,191.30

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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.