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Finding the Fourth Proportional to 86,438.34, 129,805.74 and 53,353.89

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Solution

The fourth proportional to 86,438.34, 129,805.74 and 53,353.89 is: 80,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438.34 : 129,805.74 = 53,353.89 : x
  2. Step 2: Convert to fraction form
    86,438.34/129,805.74 = 53,353.89/x
  3. Step 3: Cross multiply
    86,438.34x = 129,805.74 × 53,353.89
  4. Step 4: Simplify right side
    86,438.34x = 6,925,641,173.33
  5. Step 5: Solve for x
    x = 6,925,641,173.33/86,438.34
  6. Step 6: Final answer
    x = 80,122.33

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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.