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Finding the Fourth Proportional to 56,419.68, 77,854.96 and 30,921.96

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Solution

The fourth proportional to 56,419.68, 77,854.96 and 30,921.96 is: 42,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419.68 : 77,854.96 = 30,921.96 : x
  2. Step 2: Convert to fraction form
    56,419.68/77,854.96 = 30,921.96/x
  3. Step 3: Cross multiply
    56,419.68x = 77,854.96 × 30,921.96
  4. Step 4: Simplify right side
    56,419.68x = 2,407,427,958.92
  5. Step 5: Solve for x
    x = 2,407,427,958.92/56,419.68
  6. Step 6: Final answer
    x = 42,670.00

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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.