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Finding the Fourth Proportional to 133,323, 183,985.68 and 72,893.94

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Solution

The fourth proportional to 133,323, 183,985.68 and 72,893.94 is: 100,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,323 : 183,985.68 = 72,893.94 : x
  2. Step 2: Convert to fraction form
    133,323/183,985.68 = 72,893.94/x
  3. Step 3: Cross multiply
    133,323x = 183,985.68 × 72,893.94
  4. Step 4: Simplify right side
    133,323x = 13,411,441,118.78
  5. Step 5: Solve for x
    x = 13,411,441,118.78/133,323
  6. Step 6: Final answer
    x = 100,593.60

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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.