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Finding the Fourth Proportional to 133,130.92, 183,719.74 and 72,701.57

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Solution

The fourth proportional to 133,130.92, 183,719.74 and 72,701.57 is: 100,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,130.92 : 183,719.74 = 72,701.57 : x
  2. Step 2: Convert to fraction form
    133,130.92/183,719.74 = 72,701.57/x
  3. Step 3: Cross multiply
    133,130.92x = 183,719.74 × 72,701.57
  4. Step 4: Simplify right side
    133,130.92x = 13,356,713,537.99
  5. Step 5: Solve for x
    x = 13,356,713,537.99/133,130.92
  6. Step 6: Final answer
    x = 100,327.66

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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.