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Finding the Fourth Proportional to 56,830.84, 85,186.80 and 19,377.79

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Solution

The fourth proportional to 56,830.84, 85,186.80 and 19,377.79 is: 29,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,830.84 : 85,186.80 = 19,377.79 : x
  2. Step 2: Convert to fraction form
    56,830.84/85,186.80 = 19,377.79/x
  3. Step 3: Cross multiply
    56,830.84x = 85,186.80 × 19,377.79
  4. Step 4: Simplify right side
    56,830.84x = 1,650,731,921.17
  5. Step 5: Solve for x
    x = 1,650,731,921.17/56,830.84
  6. Step 6: Final answer
    x = 29,046.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.