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Finding the Fourth Proportional to 153,930.18, 230,657.12 and 103,813.86

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Solution

The fourth proportional to 153,930.18, 230,657.12 and 103,813.86 is: 155,560.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.18 : 230,657.12 = 103,813.86 : x
  2. Step 2: Convert to fraction form
    153,930.18/230,657.12 = 103,813.86/x
  3. Step 3: Cross multiply
    153,930.18x = 230,657.12 × 103,813.86
  4. Step 4: Simplify right side
    153,930.18x = 23,945,405,963.68
  5. Step 5: Solve for x
    x = 23,945,405,963.68/153,930.18
  6. Step 6: Final answer
    x = 155,560.18

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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.