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Finding the Fourth Proportional to 210,471.53, 315,845.69 and 77,352.93

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Solution

The fourth proportional to 210,471.53, 315,845.69 and 77,352.93 is: 116,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.53 : 315,845.69 = 77,352.93 : x
  2. Step 2: Convert to fraction form
    210,471.53/315,845.69 = 77,352.93/x
  3. Step 3: Cross multiply
    210,471.53x = 315,845.69 × 77,352.93
  4. Step 4: Simplify right side
    210,471.53x = 24,431,589,549.37
  5. Step 5: Solve for x
    x = 24,431,589,549.37/210,471.53
  6. Step 6: Final answer
    x = 116,080.26

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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.