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Finding the Fourth Proportional to 56,415.64, 77,850.42 and 30,917.14

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Solution

The fourth proportional to 56,415.64, 77,850.42 and 30,917.14 is: 42,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415.64 : 77,850.42 = 30,917.14 : x
  2. Step 2: Convert to fraction form
    56,415.64/77,850.42 = 30,917.14/x
  3. Step 3: Cross multiply
    56,415.64x = 77,850.42 × 30,917.14
  4. Step 4: Simplify right side
    56,415.64x = 2,406,912,461.54
  5. Step 5: Solve for x
    x = 2,406,912,461.54/56,415.64
  6. Step 6: Final answer
    x = 42,663.92

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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.