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Finding the Fourth Proportional to 56,773.59, 77,780.16 and 54,645.31

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Solution

The fourth proportional to 56,773.59, 77,780.16 and 54,645.31 is: 74,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,773.59 : 77,780.16 = 54,645.31 : x
  2. Step 2: Convert to fraction form
    56,773.59/77,780.16 = 54,645.31/x
  3. Step 3: Cross multiply
    56,773.59x = 77,780.16 × 54,645.31
  4. Step 4: Simplify right side
    56,773.59x = 4,250,320,955.05
  5. Step 5: Solve for x
    x = 4,250,320,955.05/56,773.59
  6. Step 6: Final answer
    x = 74,864.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.