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Finding the Fourth Proportional to 211,492.26, 291,859.74 and 115,999.74

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Solution

The fourth proportional to 211,492.26, 291,859.74 and 115,999.74 is: 160,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,492.26 : 291,859.74 = 115,999.74 : x
  2. Step 2: Convert to fraction form
    211,492.26/291,859.74 = 115,999.74/x
  3. Step 3: Cross multiply
    211,492.26x = 291,859.74 × 115,999.74
  4. Step 4: Simplify right side
    211,492.26x = 33,855,653,956.47
  5. Step 5: Solve for x
    x = 33,855,653,956.47/211,492.26
  6. Step 6: Final answer
    x = 160,079.87

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1.5x scale

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.