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Finding the Fourth Proportional to 61,978.29, 85,431.89 and 56,829.73

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Solution

The fourth proportional to 61,978.29, 85,431.89 and 56,829.73 is: 78,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,978.29 : 85,431.89 = 56,829.73 : x
  2. Step 2: Convert to fraction form
    61,978.29/85,431.89 = 56,829.73/x
  3. Step 3: Cross multiply
    61,978.29x = 85,431.89 × 56,829.73
  4. Step 4: Simplify right side
    61,978.29x = 4,855,071,242.09
  5. Step 5: Solve for x
    x = 4,855,071,242.09/61,978.29
  6. Step 6: Final answer
    x = 78,335.03

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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.