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Finding the Fourth Proportional to 56,349.88, 77,765.26 and 31,199.38

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Solution

The fourth proportional to 56,349.88, 77,765.26 and 31,199.38 is: 43,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,349.88 : 77,765.26 = 31,199.38 : x
  2. Step 2: Convert to fraction form
    56,349.88/77,765.26 = 31,199.38/x
  3. Step 3: Cross multiply
    56,349.88x = 77,765.26 × 31,199.38
  4. Step 4: Simplify right side
    56,349.88x = 2,426,227,897.54
  5. Step 5: Solve for x
    x = 2,426,227,897.54/56,349.88
  6. Step 6: Final answer
    x = 43,056.49

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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.