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Finding the Fourth Proportional to 157,381.98, 217,187.10 and 85,762.02

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Solution

The fourth proportional to 157,381.98, 217,187.10 and 85,762.02 is: 118,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,381.98 : 217,187.10 = 85,762.02 : x
  2. Step 2: Convert to fraction form
    157,381.98/217,187.10 = 85,762.02/x
  3. Step 3: Cross multiply
    157,381.98x = 217,187.10 × 85,762.02
  4. Step 4: Simplify right side
    157,381.98x = 18,626,404,413.94
  5. Step 5: Solve for x
    x = 18,626,404,413.94/157,381.98
  6. Step 6: Final answer
    x = 118,351.57

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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.