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Finding the Fourth Proportional to 211,250.42, 316,876.16 and 53,478.89

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Solution

The fourth proportional to 211,250.42, 316,876.16 and 53,478.89 is: 80,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,250.42 : 316,876.16 = 53,478.89 : x
  2. Step 2: Convert to fraction form
    211,250.42/316,876.16 = 53,478.89/x
  3. Step 3: Cross multiply
    211,250.42x = 316,876.16 × 53,478.89
  4. Step 4: Simplify right side
    211,250.42x = 16,946,183,853.58
  5. Step 5: Solve for x
    x = 16,946,183,853.58/211,250.42
  6. Step 6: Final answer
    x = 80,218.46

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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.