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Finding the Fourth Proportional to 216,814.09, 325,221.14 and 142,924.81

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Solution

The fourth proportional to 216,814.09, 325,221.14 and 142,924.81 is: 214,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,814.09 : 325,221.14 = 142,924.81 : x
  2. Step 2: Convert to fraction form
    216,814.09/325,221.14 = 142,924.81/x
  3. Step 3: Cross multiply
    216,814.09x = 325,221.14 × 142,924.81
  4. Step 4: Simplify right side
    216,814.09x = 46,482,169,642.48
  5. Step 5: Solve for x
    x = 46,482,169,642.48/216,814.09
  6. Step 6: Final answer
    x = 214,387.22

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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.