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Finding the Fourth Proportional to 133,175.74, 183,781.42 and 72,746.40

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Solution

The fourth proportional to 133,175.74, 183,781.42 and 72,746.40 is: 100,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,175.74 : 183,781.42 = 72,746.40 : x
  2. Step 2: Convert to fraction form
    133,175.74/183,781.42 = 72,746.40/x
  3. Step 3: Cross multiply
    133,175.74x = 183,781.42 × 72,746.40
  4. Step 4: Simplify right side
    133,175.74x = 13,369,436,691.89
  5. Step 5: Solve for x
    x = 13,369,436,691.89/133,175.74
  6. Step 6: Final answer
    x = 100,389.43

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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.