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Finding the Fourth Proportional to 51,863.90, 77,677.79 and 45,878.81

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Solution

The fourth proportional to 51,863.90, 77,677.79 and 45,878.81 is: 68,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.90 : 77,677.79 = 45,878.81 : x
  2. Step 2: Convert to fraction form
    51,863.90/77,677.79 = 45,878.81/x
  3. Step 3: Cross multiply
    51,863.90x = 77,677.79 × 45,878.81
  4. Step 4: Simplify right side
    51,863.90x = 3,563,763,950.85
  5. Step 5: Solve for x
    x = 3,563,763,950.85/51,863.90
  6. Step 6: Final answer
    x = 68,713.77

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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.