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Finding the Fourth Proportional to 210,889.12, 316,322.32 and 53,117.28

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Solution

The fourth proportional to 210,889.12, 316,322.32 and 53,117.28 is: 79,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,889.12 : 316,322.32 = 53,117.28 : x
  2. Step 2: Convert to fraction form
    210,889.12/316,322.32 = 53,117.28/x
  3. Step 3: Cross multiply
    210,889.12x = 316,322.32 × 53,117.28
  4. Step 4: Simplify right side
    210,889.12x = 16,802,181,241.69
  5. Step 5: Solve for x
    x = 16,802,181,241.69/210,889.12
  6. Step 6: Final answer
    x = 79,673.06

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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.