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Finding the Fourth Proportional to 211,144.32, 291,366.72 and 115,632

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Solution

The fourth proportional to 211,144.32, 291,366.72 and 115,632 is: 159,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,144.32 : 291,366.72 = 115,632 : x
  2. Step 2: Convert to fraction form
    211,144.32/291,366.72 = 115,632/x
  3. Step 3: Cross multiply
    211,144.32x = 291,366.72 × 115,632
  4. Step 4: Simplify right side
    211,144.32x = 33,691,316,567.04
  5. Step 5: Solve for x
    x = 33,691,316,567.04/211,144.32
  6. Step 6: Final answer
    x = 159,565.35

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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.