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Finding the Fourth Proportional to 77,378.40, 116,079.60 and 33,005.28

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Solution

The fourth proportional to 77,378.40, 116,079.60 and 33,005.28 is: 49,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378.40 : 116,079.60 = 33,005.28 : x
  2. Step 2: Convert to fraction form
    77,378.40/116,079.60 = 33,005.28/x
  3. Step 3: Cross multiply
    77,378.40x = 116,079.60 × 33,005.28
  4. Step 4: Simplify right side
    77,378.40x = 3,831,239,700.29
  5. Step 5: Solve for x
    x = 3,831,239,700.29/77,378.40
  6. Step 6: Final answer
    x = 49,513.04

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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.