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Finding the Fourth Proportional to 221,730.77, 305,988.44 and 119,756.22

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Solution

The fourth proportional to 221,730.77, 305,988.44 and 119,756.22 is: 165,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,730.77 : 305,988.44 = 119,756.22 : x
  2. Step 2: Convert to fraction form
    221,730.77/305,988.44 = 119,756.22/x
  3. Step 3: Cross multiply
    221,730.77x = 305,988.44 × 119,756.22
  4. Step 4: Simplify right side
    221,730.77x = 36,644,018,913.04
  5. Step 5: Solve for x
    x = 36,644,018,913.04/221,730.77
  6. Step 6: Final answer
    x = 165,263.57

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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.