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Finding the Fourth Proportional to 223,925.94, 309,011.49 and 121,949.10

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Solution

The fourth proportional to 223,925.94, 309,011.49 and 121,949.10 is: 168,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,925.94 : 309,011.49 = 121,949.10 : x
  2. Step 2: Convert to fraction form
    223,925.94/309,011.49 = 121,949.10/x
  3. Step 3: Cross multiply
    223,925.94x = 309,011.49 × 121,949.10
  4. Step 4: Simplify right side
    223,925.94x = 37,683,673,095.16
  5. Step 5: Solve for x
    x = 37,683,673,095.16/223,925.94
  6. Step 6: Final answer
    x = 168,286.32

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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.