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Finding the Fourth Proportional to 153,936, 230,942.88 and 43,128

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Solution

The fourth proportional to 153,936, 230,942.88 and 43,128 is: 64,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,936 : 230,942.88 = 43,128 : x
  2. Step 2: Convert to fraction form
    153,936/230,942.88 = 43,128/x
  3. Step 3: Cross multiply
    153,936x = 230,942.88 × 43,128
  4. Step 4: Simplify right side
    153,936x = 9,960,104,528.64
  5. Step 5: Solve for x
    x = 9,960,104,528.64/153,936
  6. Step 6: Final answer
    x = 64,702.89

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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.