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Finding the Fourth Proportional to 81,577.67, 112,576.50 and 45,767.66

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Solution

The fourth proportional to 81,577.67, 112,576.50 and 45,767.66 is: 63,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,577.67 : 112,576.50 = 45,767.66 : x
  2. Step 2: Convert to fraction form
    81,577.67/112,576.50 = 45,767.66/x
  3. Step 3: Cross multiply
    81,577.67x = 112,576.50 × 45,767.66
  4. Step 4: Simplify right side
    81,577.67x = 5,152,362,413.11
  5. Step 5: Solve for x
    x = 5,152,362,413.11/81,577.67
  6. Step 6: Final answer
    x = 63,158.98

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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.