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Finding the Fourth Proportional to 157,413.24, 217,223.90 and 85,791.72

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Solution

The fourth proportional to 157,413.24, 217,223.90 and 85,791.72 is: 118,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,413.24 : 217,223.90 = 85,791.72 : x
  2. Step 2: Convert to fraction form
    157,413.24/217,223.90 = 85,791.72/x
  3. Step 3: Cross multiply
    157,413.24x = 217,223.90 × 85,791.72
  4. Step 4: Simplify right side
    157,413.24x = 18,636,012,006.11
  5. Step 5: Solve for x
    x = 18,636,012,006.11/157,413.24
  6. Step 6: Final answer
    x = 118,389.10

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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.