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Finding the Fourth Proportional to 56,353.50, 77,767.83 and 31,203

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Solution

The fourth proportional to 56,353.50, 77,767.83 and 31,203 is: 43,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,353.50 : 77,767.83 = 31,203 : x
  2. Step 2: Convert to fraction form
    56,353.50/77,767.83 = 31,203/x
  3. Step 3: Cross multiply
    56,353.50x = 77,767.83 × 31,203
  4. Step 4: Simplify right side
    56,353.50x = 2,426,589,599.49
  5. Step 5: Solve for x
    x = 2,426,589,599.49/56,353.50
  6. Step 6: Final answer
    x = 43,060.14

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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.