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Finding the Fourth Proportional to 211,307.52, 291,608.32 and 115,808

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Solution

The fourth proportional to 211,307.52, 291,608.32 and 115,808 is: 159,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,307.52 : 291,608.32 = 115,808 : x
  2. Step 2: Convert to fraction form
    211,307.52/291,608.32 = 115,808/x
  3. Step 3: Cross multiply
    211,307.52x = 291,608.32 × 115,808
  4. Step 4: Simplify right side
    211,307.52x = 33,770,576,322.56
  5. Step 5: Solve for x
    x = 33,770,576,322.56/211,307.52
  6. Step 6: Final answer
    x = 159,817.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.