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Finding the Fourth Proportional to 216,810.59, 325,215.89 and 142,921.31

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Solution

The fourth proportional to 216,810.59, 325,215.89 and 142,921.31 is: 214,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,810.59 : 325,215.89 = 142,921.31 : x
  2. Step 2: Convert to fraction form
    216,810.59/325,215.89 = 142,921.31/x
  3. Step 3: Cross multiply
    216,810.59x = 325,215.89 × 142,921.31
  4. Step 4: Simplify right side
    216,810.59x = 46,480,280,317.01
  5. Step 5: Solve for x
    x = 46,480,280,317.01/216,810.59
  6. Step 6: Final answer
    x = 214,381.97

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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.