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Finding the Fourth Proportional to 133,207.88, 199,639.59 and 99,664.77

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Solution

The fourth proportional to 133,207.88, 199,639.59 and 99,664.77 is: 149,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207.88 : 199,639.59 = 99,664.77 : x
  2. Step 2: Convert to fraction form
    133,207.88/199,639.59 = 99,664.77/x
  3. Step 3: Cross multiply
    133,207.88x = 199,639.59 × 99,664.77
  4. Step 4: Simplify right side
    133,207.88x = 19,897,033,820.24
  5. Step 5: Solve for x
    x = 19,897,033,820.24/133,207.88
  6. Step 6: Final answer
    x = 149,368.29

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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.