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Finding the Fourth Proportional to 78,242.62, 117,406.50 and 33,256.93

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Solution

The fourth proportional to 78,242.62, 117,406.50 and 33,256.93 is: 49,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.62 : 117,406.50 = 33,256.93 : x
  2. Step 2: Convert to fraction form
    78,242.62/117,406.50 = 33,256.93/x
  3. Step 3: Cross multiply
    78,242.62x = 117,406.50 × 33,256.93
  4. Step 4: Simplify right side
    78,242.62x = 3,904,579,752.05
  5. Step 5: Solve for x
    x = 3,904,579,752.05/78,242.62
  6. Step 6: Final answer
    x = 49,903.49

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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.