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Finding the Fourth Proportional to 211,552.83, 317,261.21 and 111,655.53

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Solution

The fourth proportional to 211,552.83, 317,261.21 and 111,655.53 is: 167,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,552.83 : 317,261.21 = 111,655.53 : x
  2. Step 2: Convert to fraction form
    211,552.83/317,261.21 = 111,655.53/x
  3. Step 3: Cross multiply
    211,552.83x = 317,261.21 × 111,655.53
  4. Step 4: Simplify right side
    211,552.83x = 35,423,967,992.71
  5. Step 5: Solve for x
    x = 35,423,967,992.71/211,552.83
  6. Step 6: Final answer
    x = 167,447.38

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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.