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Finding the Fourth Proportional to 99,695.26, 149,413.72 and 40,498.64

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Solution

The fourth proportional to 99,695.26, 149,413.72 and 40,498.64 is: 60,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,695.26 : 149,413.72 = 40,498.64 : x
  2. Step 2: Convert to fraction form
    99,695.26/149,413.72 = 40,498.64/x
  3. Step 3: Cross multiply
    99,695.26x = 149,413.72 × 40,498.64
  4. Step 4: Simplify right side
    99,695.26x = 6,051,052,457.34
  5. Step 5: Solve for x
    x = 6,051,052,457.34/99,695.26
  6. Step 6: Final answer
    x = 60,695.49

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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.