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Finding the Fourth Proportional to 115,241.80, 172,800.30 and 51,988

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Solution

The fourth proportional to 115,241.80, 172,800.30 and 51,988 is: 77,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,241.80 : 172,800.30 = 51,988 : x
  2. Step 2: Convert to fraction form
    115,241.80/172,800.30 = 51,988/x
  3. Step 3: Cross multiply
    115,241.80x = 172,800.30 × 51,988
  4. Step 4: Simplify right side
    115,241.80x = 8,983,541,996.40
  5. Step 5: Solve for x
    x = 8,983,541,996.40/115,241.80
  6. Step 6: Final answer
    x = 77,953.85

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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.