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Finding the Fourth Proportional to 86,351.78, 129,285.67 and 65,225.34

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Solution

The fourth proportional to 86,351.78, 129,285.67 and 65,225.34 is: 97,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,351.78 : 129,285.67 = 65,225.34 : x
  2. Step 2: Convert to fraction form
    86,351.78/129,285.67 = 65,225.34/x
  3. Step 3: Cross multiply
    86,351.78x = 129,285.67 × 65,225.34
  4. Step 4: Simplify right side
    86,351.78x = 8,432,701,782.88
  5. Step 5: Solve for x
    x = 8,432,701,782.88/86,351.78
  6. Step 6: Final answer
    x = 97,655.22

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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.