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Finding the Fourth Proportional to 133,285.88, 183,916.70 and 85,603.81

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Solution

The fourth proportional to 133,285.88, 183,916.70 and 85,603.81 is: 118,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,285.88 : 183,916.70 = 85,603.81 : x
  2. Step 2: Convert to fraction form
    133,285.88/183,916.70 = 85,603.81/x
  3. Step 3: Cross multiply
    133,285.88x = 183,916.70 × 85,603.81
  4. Step 4: Simplify right side
    133,285.88x = 15,743,970,242.63
  5. Step 5: Solve for x
    x = 15,743,970,242.63/133,285.88
  6. Step 6: Final answer
    x = 118,121.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.