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Finding the Fourth Proportional to 86,483.76, 129,681.36 and 39,696

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Solution

The fourth proportional to 86,483.76, 129,681.36 and 39,696 is: 59,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,483.76 : 129,681.36 = 39,696 : x
  2. Step 2: Convert to fraction form
    86,483.76/129,681.36 = 39,696/x
  3. Step 3: Cross multiply
    86,483.76x = 129,681.36 × 39,696
  4. Step 4: Simplify right side
    86,483.76x = 5,147,831,266.56
  5. Step 5: Solve for x
    x = 5,147,831,266.56/86,483.76
  6. Step 6: Final answer
    x = 59,523.68

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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.