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Finding the Fourth Proportional to 223,153.68, 307,950.94 and 121,178.22

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Solution

The fourth proportional to 223,153.68, 307,950.94 and 121,178.22 is: 167,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,153.68 : 307,950.94 = 121,178.22 : x
  2. Step 2: Convert to fraction form
    223,153.68/307,950.94 = 121,178.22/x
  3. Step 3: Cross multiply
    223,153.68x = 307,950.94 × 121,178.22
  4. Step 4: Simplify right side
    223,153.68x = 37,316,946,756.53
  5. Step 5: Solve for x
    x = 37,316,946,756.53/223,153.68
  6. Step 6: Final answer
    x = 167,225.33

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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.