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Finding the Fourth Proportional to 56,404.50, 77,838.75 and 31,254.54

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Solution

The fourth proportional to 56,404.50, 77,838.75 and 31,254.54 is: 43,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,404.50 : 77,838.75 = 31,254.54 : x
  2. Step 2: Convert to fraction form
    56,404.50/77,838.75 = 31,254.54/x
  3. Step 3: Cross multiply
    56,404.50x = 77,838.75 × 31,254.54
  4. Step 4: Simplify right side
    56,404.50x = 2,432,814,325.43
  5. Step 5: Solve for x
    x = 2,432,814,325.43/56,404.50
  6. Step 6: Final answer
    x = 43,131.56

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1.5x scale

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.