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Finding the Fourth Proportional to 206,931.70, 310,233.52 and 113,437.45

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Solution

The fourth proportional to 206,931.70, 310,233.52 and 113,437.45 is: 170,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,931.70 : 310,233.52 = 113,437.45 : x
  2. Step 2: Convert to fraction form
    206,931.70/310,233.52 = 113,437.45/x
  3. Step 3: Cross multiply
    206,931.70x = 310,233.52 × 113,437.45
  4. Step 4: Simplify right side
    206,931.70x = 35,192,099,413.32
  5. Step 5: Solve for x
    x = 35,192,099,413.32/206,931.70
  6. Step 6: Final answer
    x = 170,066.26

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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.