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Finding the Fourth Proportional to 211,043, 316,642.26 and 111,199.16

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Solution

The fourth proportional to 211,043, 316,642.26 and 111,199.16 is: 166,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,043 : 316,642.26 = 111,199.16 : x
  2. Step 2: Convert to fraction form
    211,043/316,642.26 = 111,199.16/x
  3. Step 3: Cross multiply
    211,043x = 316,642.26 × 111,199.16
  4. Step 4: Simplify right side
    211,043x = 35,210,353,332.50
  5. Step 5: Solve for x
    x = 35,210,353,332.50/211,043
  6. Step 6: Final answer
    x = 166,839.71

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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.