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Finding the Fourth Proportional to 202,721.59, 304,131.93 and 142,866.91

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Solution

The fourth proportional to 202,721.59, 304,131.93 and 142,866.91 is: 214,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,721.59 : 304,131.93 = 142,866.91 : x
  2. Step 2: Convert to fraction form
    202,721.59/304,131.93 = 142,866.91/x
  3. Step 3: Cross multiply
    202,721.59x = 304,131.93 × 142,866.91
  4. Step 4: Simplify right side
    202,721.59x = 43,450,389,071.44
  5. Step 5: Solve for x
    x = 43,450,389,071.44/202,721.59
  6. Step 6: Final answer
    x = 214,335.28

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1.5x scale

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.