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Finding the Fourth Proportional to 72,413.82, 108,655.29 and 25,688.70

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Solution

The fourth proportional to 72,413.82, 108,655.29 and 25,688.70 is: 38,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,413.82 : 108,655.29 = 25,688.70 : x
  2. Step 2: Convert to fraction form
    72,413.82/108,655.29 = 25,688.70/x
  3. Step 3: Cross multiply
    72,413.82x = 108,655.29 × 25,688.70
  4. Step 4: Simplify right side
    72,413.82x = 2,791,213,148.22
  5. Step 5: Solve for x
    x = 2,791,213,148.22/72,413.82
  6. Step 6: Final answer
    x = 38,545.31

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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.