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Finding the Fourth Proportional to 56,920.50, 78,551.10 and 31,770

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Solution

The fourth proportional to 56,920.50, 78,551.10 and 31,770 is: 43,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,920.50 : 78,551.10 = 31,770 : x
  2. Step 2: Convert to fraction form
    56,920.50/78,551.10 = 31,770/x
  3. Step 3: Cross multiply
    56,920.50x = 78,551.10 × 31,770
  4. Step 4: Simplify right side
    56,920.50x = 2,495,568,447
  5. Step 5: Solve for x
    x = 2,495,568,447/56,920.50
  6. Step 6: Final answer
    x = 43,843.05

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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.