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Finding the Fourth Proportional to 211,189.74, 316,718.34 and 69,002.63

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Solution

The fourth proportional to 211,189.74, 316,718.34 and 69,002.63 is: 103,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,189.74 : 316,718.34 = 69,002.63 : x
  2. Step 2: Convert to fraction form
    211,189.74/316,718.34 = 69,002.63/x
  3. Step 3: Cross multiply
    211,189.74x = 316,718.34 × 69,002.63
  4. Step 4: Simplify right side
    211,189.74x = 21,854,396,845.64
  5. Step 5: Solve for x
    x = 21,854,396,845.64/211,189.74
  6. Step 6: Final answer
    x = 103,482.28

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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.