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Finding the Fourth Proportional to 191,471.45, 264,220.25 and 105,413.67

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Solution

The fourth proportional to 191,471.45, 264,220.25 and 105,413.67 is: 145,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,471.45 : 264,220.25 = 105,413.67 : x
  2. Step 2: Convert to fraction form
    191,471.45/264,220.25 = 105,413.67/x
  3. Step 3: Cross multiply
    191,471.45x = 264,220.25 × 105,413.67
  4. Step 4: Simplify right side
    191,471.45x = 27,852,425,713.75
  5. Step 5: Solve for x
    x = 27,852,425,713.75/191,471.45
  6. Step 6: Final answer
    x = 145,465.17

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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.