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Finding the Fourth Proportional to 56,900.90, 78,523.29 and 31,750.40

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Solution

The fourth proportional to 56,900.90, 78,523.29 and 31,750.40 is: 43,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,900.90 : 78,523.29 = 31,750.40 : x
  2. Step 2: Convert to fraction form
    56,900.90/78,523.29 = 31,750.40/x
  3. Step 3: Cross multiply
    56,900.90x = 78,523.29 × 31,750.40
  4. Step 4: Simplify right side
    56,900.90x = 2,493,145,474.20
  5. Step 5: Solve for x
    x = 2,493,145,474.20/56,900.90
  6. Step 6: Final answer
    x = 43,815.58

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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.