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Finding the Fourth Proportional to 76,085.17, 104,978.66 and 49,195.32

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Solution

The fourth proportional to 76,085.17, 104,978.66 and 49,195.32 is: 67,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,085.17 : 104,978.66 = 49,195.32 : x
  2. Step 2: Convert to fraction form
    76,085.17/104,978.66 = 49,195.32/x
  3. Step 3: Cross multiply
    76,085.17x = 104,978.66 × 49,195.32
  4. Step 4: Simplify right side
    76,085.17x = 5,164,459,156.34
  5. Step 5: Solve for x
    x = 5,164,459,156.34/76,085.17
  6. Step 6: Final answer
    x = 67,877.34

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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.