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Finding the Fourth Proportional to 56,374.97, 77,796.62 and 30,881.14

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Solution

The fourth proportional to 56,374.97, 77,796.62 and 30,881.14 is: 42,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,374.97 : 77,796.62 = 30,881.14 : x
  2. Step 2: Convert to fraction form
    56,374.97/77,796.62 = 30,881.14/x
  3. Step 3: Cross multiply
    56,374.97x = 77,796.62 × 30,881.14
  4. Step 4: Simplify right side
    56,374.97x = 2,402,447,770.36
  5. Step 5: Solve for x
    x = 2,402,447,770.36/56,374.97
  6. Step 6: Final answer
    x = 42,615.50

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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.