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Finding the Fourth Proportional to 56,813.87, 78,403.52 and 31,664.99

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Solution

The fourth proportional to 56,813.87, 78,403.52 and 31,664.99 is: 43,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,813.87 : 78,403.52 = 31,664.99 : x
  2. Step 2: Convert to fraction form
    56,813.87/78,403.52 = 31,664.99/x
  3. Step 3: Cross multiply
    56,813.87x = 78,403.52 × 31,664.99
  4. Step 4: Simplify right side
    56,813.87x = 2,482,646,363.91
  5. Step 5: Solve for x
    x = 2,482,646,363.91/56,813.87
  6. Step 6: Final answer
    x = 43,697.90

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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.