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Finding the Fourth Proportional to 221,552, 305,637.06 and 130,847.39

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Solution

The fourth proportional to 221,552, 305,637.06 and 130,847.39 is: 180,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,552 : 305,637.06 = 130,847.39 : x
  2. Step 2: Convert to fraction form
    221,552/305,637.06 = 130,847.39/x
  3. Step 3: Cross multiply
    221,552x = 305,637.06 × 130,847.39
  4. Step 4: Simplify right side
    221,552x = 39,991,811,588.27
  5. Step 5: Solve for x
    x = 39,991,811,588.27/221,552
  6. Step 6: Final answer
    x = 180,507.56

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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.