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Finding the Fourth Proportional to 230,802.27, 318,504.72 and 135,290.51

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Solution

The fourth proportional to 230,802.27, 318,504.72 and 135,290.51 is: 186,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,802.27 : 318,504.72 = 135,290.51 : x
  2. Step 2: Convert to fraction form
    230,802.27/318,504.72 = 135,290.51/x
  3. Step 3: Cross multiply
    230,802.27x = 318,504.72 × 135,290.51
  4. Step 4: Simplify right side
    230,802.27x = 43,090,666,006.21
  5. Step 5: Solve for x
    x = 43,090,666,006.21/230,802.27
  6. Step 6: Final answer
    x = 186,699.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.