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Finding the Fourth Proportional to 211,224, 291,443.76 and 125,210.10

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Solution

The fourth proportional to 211,224, 291,443.76 and 125,210.10 is: 172,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,224 : 291,443.76 = 125,210.10 : x
  2. Step 2: Convert to fraction form
    211,224/291,443.76 = 125,210.10/x
  3. Step 3: Cross multiply
    211,224x = 291,443.76 × 125,210.10
  4. Step 4: Simplify right side
    211,224x = 36,491,702,333.98
  5. Step 5: Solve for x
    x = 36,491,702,333.98/211,224
  6. Step 6: Final answer
    x = 172,763.05

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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.