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Finding the Fourth Proportional to 230,487.76, 317,987.40 and 154,916.56

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Solution

The fourth proportional to 230,487.76, 317,987.40 and 154,916.56 is: 213,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,487.76 : 317,987.40 = 154,916.56 : x
  2. Step 2: Convert to fraction form
    230,487.76/317,987.40 = 154,916.56/x
  3. Step 3: Cross multiply
    230,487.76x = 317,987.40 × 154,916.56
  4. Step 4: Simplify right side
    230,487.76x = 49,261,514,131.34
  5. Step 5: Solve for x
    x = 49,261,514,131.34/230,487.76
  6. Step 6: Final answer
    x = 213,727.25

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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.