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Finding the Fourth Proportional to 230,809.02, 318,569.59 and 135,346.47

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Solution

The fourth proportional to 230,809.02, 318,569.59 and 135,346.47 is: 186,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,809.02 : 318,569.59 = 135,346.47 : x
  2. Step 2: Convert to fraction form
    230,809.02/318,569.59 = 135,346.47/x
  3. Step 3: Cross multiply
    230,809.02x = 318,569.59 × 135,346.47
  4. Step 4: Simplify right side
    230,809.02x = 43,117,269,455.85
  5. Step 5: Solve for x
    x = 43,117,269,455.85/230,809.02
  6. Step 6: Final answer
    x = 186,809.29

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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.