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Finding the Fourth Proportional to 159,413.76, 219,988.32 and 87,800.45

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Solution

The fourth proportional to 159,413.76, 219,988.32 and 87,800.45 is: 121,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,413.76 : 219,988.32 = 87,800.45 : x
  2. Step 2: Convert to fraction form
    159,413.76/219,988.32 = 87,800.45/x
  3. Step 3: Cross multiply
    159,413.76x = 219,988.32 × 87,800.45
  4. Step 4: Simplify right side
    159,413.76x = 19,315,072,501.77
  5. Step 5: Solve for x
    x = 19,315,072,501.77/159,413.76
  6. Step 6: Final answer
    x = 121,163.14

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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.