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Finding the Fourth Proportional to 133,007.67, 183,549.95 and 72,578.13

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Solution

The fourth proportional to 133,007.67, 183,549.95 and 72,578.13 is: 100,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,007.67 : 183,549.95 = 72,578.13 : x
  2. Step 2: Convert to fraction form
    133,007.67/183,549.95 = 72,578.13/x
  3. Step 3: Cross multiply
    133,007.67x = 183,549.95 × 72,578.13
  4. Step 4: Simplify right side
    133,007.67x = 13,321,711,353.56
  5. Step 5: Solve for x
    x = 13,321,711,353.56/133,007.67
  6. Step 6: Final answer
    x = 100,157.47

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1.5x scale

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.