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Finding the Fourth Proportional to 133,085.90, 183,659.06 and 72,657.88

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Solution

The fourth proportional to 133,085.90, 183,659.06 and 72,657.88 is: 100,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085.90 : 183,659.06 = 72,657.88 : x
  2. Step 2: Convert to fraction form
    133,085.90/183,659.06 = 72,657.88/x
  3. Step 3: Cross multiply
    133,085.90x = 183,659.06 × 72,657.88
  4. Step 4: Simplify right side
    133,085.90x = 13,344,277,664.89
  5. Step 5: Solve for x
    x = 13,344,277,664.89/133,085.90
  6. Step 6: Final answer
    x = 100,268.15

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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.