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Finding the Fourth Proportional to 211,437, 291,781.02 and 115,943.40

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Solution

The fourth proportional to 211,437, 291,781.02 and 115,943.40 is: 160,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,437 : 291,781.02 = 115,943.40 : x
  2. Step 2: Convert to fraction form
    211,437/291,781.02 = 115,943.40/x
  3. Step 3: Cross multiply
    211,437x = 291,781.02 × 115,943.40
  4. Step 4: Simplify right side
    211,437x = 33,830,083,514.27
  5. Step 5: Solve for x
    x = 33,830,083,514.27/211,437
  6. Step 6: Final answer
    x = 160,000.77

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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.