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Finding the Fourth Proportional to 153,957.70, 230,936.55 and 100,813.60

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Solution

The fourth proportional to 153,957.70, 230,936.55 and 100,813.60 is: 151,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,957.70 : 230,936.55 = 100,813.60 : x
  2. Step 2: Convert to fraction form
    153,957.70/230,936.55 = 100,813.60/x
  3. Step 3: Cross multiply
    153,957.70x = 230,936.55 × 100,813.60
  4. Step 4: Simplify right side
    153,957.70x = 23,281,544,977.08
  5. Step 5: Solve for x
    x = 23,281,544,977.08/153,957.70
  6. Step 6: Final answer
    x = 151,220.40

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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.