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Finding the Fourth Proportional to 97,318.80, 145,978.20 and 91,413.90

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Solution

The fourth proportional to 97,318.80, 145,978.20 and 91,413.90 is: 137,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,318.80 : 145,978.20 = 91,413.90 : x
  2. Step 2: Convert to fraction form
    97,318.80/145,978.20 = 91,413.90/x
  3. Step 3: Cross multiply
    97,318.80x = 145,978.20 × 91,413.90
  4. Step 4: Simplify right side
    97,318.80x = 13,344,436,576.98
  5. Step 5: Solve for x
    x = 13,344,436,576.98/97,318.80
  6. Step 6: Final answer
    x = 137,120.85

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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.