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Finding the Fourth Proportional to 211,187.60, 316,696.32 and 76,213.24

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Solution

The fourth proportional to 211,187.60, 316,696.32 and 76,213.24 is: 114,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,187.60 : 316,696.32 = 76,213.24 : x
  2. Step 2: Convert to fraction form
    211,187.60/316,696.32 = 76,213.24/x
  3. Step 3: Cross multiply
    211,187.60x = 316,696.32 × 76,213.24
  4. Step 4: Simplify right side
    211,187.60x = 24,136,452,643.28
  5. Step 5: Solve for x
    x = 24,136,452,643.28/211,187.60
  6. Step 6: Final answer
    x = 114,289.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.