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Finding the Fourth Proportional to 210,471.69, 315,832.08 and 77,445.36

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Solution

The fourth proportional to 210,471.69, 315,832.08 and 77,445.36 is: 116,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.69 : 315,832.08 = 77,445.36 : x
  2. Step 2: Convert to fraction form
    210,471.69/315,832.08 = 77,445.36/x
  3. Step 3: Cross multiply
    210,471.69x = 315,832.08 × 77,445.36
  4. Step 4: Simplify right side
    210,471.69x = 24,459,729,135.15
  5. Step 5: Solve for x
    x = 24,459,729,135.15/210,471.69
  6. Step 6: Final answer
    x = 116,213.87

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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.