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Finding the Fourth Proportional to 117,893.47, 162,644.91 and 72,557.77

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Solution

The fourth proportional to 117,893.47, 162,644.91 and 72,557.77 is: 100,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,893.47 : 162,644.91 = 72,557.77 : x
  2. Step 2: Convert to fraction form
    117,893.47/162,644.91 = 72,557.77/x
  3. Step 3: Cross multiply
    117,893.47x = 162,644.91 × 72,557.77
  4. Step 4: Simplify right side
    117,893.47x = 11,801,151,971.45
  5. Step 5: Solve for x
    x = 11,801,151,971.45/117,893.47
  6. Step 6: Final answer
    x = 100,100.13

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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.