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Finding the Fourth Proportional to 211,159.70, 291,399.90 and 114,363.26

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Solution

The fourth proportional to 211,159.70, 291,399.90 and 114,363.26 is: 157,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,159.70 : 291,399.90 = 114,363.26 : x
  2. Step 2: Convert to fraction form
    211,159.70/291,399.90 = 114,363.26/x
  3. Step 3: Cross multiply
    211,159.70x = 291,399.90 × 114,363.26
  4. Step 4: Simplify right side
    211,159.70x = 33,325,442,527.67
  5. Step 5: Solve for x
    x = 33,325,442,527.67/211,159.70
  6. Step 6: Final answer
    x = 157,821.04

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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.