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Finding the Fourth Proportional to 211,010.81, 316,505.21 and 53,240.63

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Solution

The fourth proportional to 211,010.81, 316,505.21 and 53,240.63 is: 79,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,010.81 : 316,505.21 = 53,240.63 : x
  2. Step 2: Convert to fraction form
    211,010.81/316,505.21 = 53,240.63/x
  3. Step 3: Cross multiply
    211,010.81x = 316,505.21 × 53,240.63
  4. Step 4: Simplify right side
    211,010.81x = 16,850,934,929.95
  5. Step 5: Solve for x
    x = 16,850,934,929.95/211,010.81
  6. Step 6: Final answer
    x = 79,858.16

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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.