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Finding the Fourth Proportional to 56,659.50, 78,190.11 and 31,509

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Solution

The fourth proportional to 56,659.50, 78,190.11 and 31,509 is: 43,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,659.50 : 78,190.11 = 31,509 : x
  2. Step 2: Convert to fraction form
    56,659.50/78,190.11 = 31,509/x
  3. Step 3: Cross multiply
    56,659.50x = 78,190.11 × 31,509
  4. Step 4: Simplify right side
    56,659.50x = 2,463,692,175.99
  5. Step 5: Solve for x
    x = 2,463,692,175.99/56,659.50
  6. Step 6: Final answer
    x = 43,482.42

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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.