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Finding the Fourth Proportional to 77,536, 106,999.68 and 42,208

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Solution

The fourth proportional to 77,536, 106,999.68 and 42,208 is: 58,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,536 : 106,999.68 = 42,208 : x
  2. Step 2: Convert to fraction form
    77,536/106,999.68 = 42,208/x
  3. Step 3: Cross multiply
    77,536x = 106,999.68 × 42,208
  4. Step 4: Simplify right side
    77,536x = 4,516,242,493.44
  5. Step 5: Solve for x
    x = 4,516,242,493.44/77,536
  6. Step 6: Final answer
    x = 58,247.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.