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Finding the Fourth Proportional to 133,206.48, 183,819.24 and 72,776.16

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Solution

The fourth proportional to 133,206.48, 183,819.24 and 72,776.16 is: 100,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206.48 : 183,819.24 = 72,776.16 : x
  2. Step 2: Convert to fraction form
    133,206.48/183,819.24 = 72,776.16/x
  3. Step 3: Cross multiply
    133,206.48x = 183,819.24 × 72,776.16
  4. Step 4: Simplify right side
    133,206.48x = 13,377,658,421.32
  5. Step 5: Solve for x
    x = 13,377,658,421.32/133,206.48
  6. Step 6: Final answer
    x = 100,427.99

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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.