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Finding the Fourth Proportional to 132,413.60, 198,567.60 and 43,642.40

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Solution

The fourth proportional to 132,413.60, 198,567.60 and 43,642.40 is: 65,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.60 : 198,567.60 = 43,642.40 : x
  2. Step 2: Convert to fraction form
    132,413.60/198,567.60 = 43,642.40/x
  3. Step 3: Cross multiply
    132,413.60x = 198,567.60 × 43,642.40
  4. Step 4: Simplify right side
    132,413.60x = 8,665,966,626.24
  5. Step 5: Solve for x
    x = 8,665,966,626.24/132,413.60
  6. Step 6: Final answer
    x = 65,446.20

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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.