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Finding the Fourth Proportional to 86,648.84, 129,946.80 and 36,728

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Solution

The fourth proportional to 86,648.84, 129,946.80 and 36,728 is: 55,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,648.84 : 129,946.80 = 36,728 : x
  2. Step 2: Convert to fraction form
    86,648.84/129,946.80 = 36,728/x
  3. Step 3: Cross multiply
    86,648.84x = 129,946.80 × 36,728
  4. Step 4: Simplify right side
    86,648.84x = 4,772,686,070.40
  5. Step 5: Solve for x
    x = 4,772,686,070.40/86,648.84
  6. Step 6: Final answer
    x = 55,080.78

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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.