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Finding the Fourth Proportional to 210,437.15, 315,793.83 and 77,318.51

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Solution

The fourth proportional to 210,437.15, 315,793.83 and 77,318.51 is: 116,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,437.15 : 315,793.83 = 77,318.51 : x
  2. Step 2: Convert to fraction form
    210,437.15/315,793.83 = 77,318.51/x
  3. Step 3: Cross multiply
    210,437.15x = 315,793.83 × 77,318.51
  4. Step 4: Simplify right side
    210,437.15x = 24,416,708,402.79
  5. Step 5: Solve for x
    x = 24,416,708,402.79/210,437.15
  6. Step 6: Final answer
    x = 116,028.51

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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.