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Finding the Fourth Proportional to 56,437, 77,883.07 and 31,286.50

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Solution

The fourth proportional to 56,437, 77,883.07 and 31,286.50 is: 43,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,437 : 77,883.07 = 31,286.50 : x
  2. Step 2: Convert to fraction form
    56,437/77,883.07 = 31,286.50/x
  3. Step 3: Cross multiply
    56,437x = 77,883.07 × 31,286.50
  4. Step 4: Simplify right side
    56,437x = 2,436,688,669.56
  5. Step 5: Solve for x
    x = 2,436,688,669.56/56,437
  6. Step 6: Final answer
    x = 43,175.38

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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.