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Finding the Fourth Proportional to 211,138.56, 316,718.72 and 53,368.36

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Solution

The fourth proportional to 211,138.56, 316,718.72 and 53,368.36 is: 80,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,138.56 : 316,718.72 = 53,368.36 : x
  2. Step 2: Convert to fraction form
    211,138.56/316,718.72 = 53,368.36/x
  3. Step 3: Cross multiply
    211,138.56x = 316,718.72 × 53,368.36
  4. Step 4: Simplify right side
    211,138.56x = 16,902,758,667.70
  5. Step 5: Solve for x
    x = 16,902,758,667.70/211,138.56
  6. Step 6: Final answer
    x = 80,055.29

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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.