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Finding the Fourth Proportional to 76,551.45, 105,604.16 and 49,702.38

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Solution

The fourth proportional to 76,551.45, 105,604.16 and 49,702.38 is: 68,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,551.45 : 105,604.16 = 49,702.38 : x
  2. Step 2: Convert to fraction form
    76,551.45/105,604.16 = 49,702.38/x
  3. Step 3: Cross multiply
    76,551.45x = 105,604.16 × 49,702.38
  4. Step 4: Simplify right side
    76,551.45x = 5,248,777,445.37
  5. Step 5: Solve for x
    x = 5,248,777,445.37/76,551.45
  6. Step 6: Final answer
    x = 68,565.36

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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.