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Finding the Fourth Proportional to 86,649.84, 129,948.30 and 36,729

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Solution

The fourth proportional to 86,649.84, 129,948.30 and 36,729 is: 55,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,649.84 : 129,948.30 = 36,729 : x
  2. Step 2: Convert to fraction form
    86,649.84/129,948.30 = 36,729/x
  3. Step 3: Cross multiply
    86,649.84x = 129,948.30 × 36,729
  4. Step 4: Simplify right side
    86,649.84x = 4,772,871,110.70
  5. Step 5: Solve for x
    x = 4,772,871,110.70/86,649.84
  6. Step 6: Final answer
    x = 55,082.28

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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.