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Finding the Fourth Proportional to 218,941.92, 302,139.48 and 123,448.08

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Solution

The fourth proportional to 218,941.92, 302,139.48 and 123,448.08 is: 170,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,941.92 : 302,139.48 = 123,448.08 : x
  2. Step 2: Convert to fraction form
    218,941.92/302,139.48 = 123,448.08/x
  3. Step 3: Cross multiply
    218,941.92x = 302,139.48 × 123,448.08
  4. Step 4: Simplify right side
    218,941.92x = 37,298,538,698.20
  5. Step 5: Solve for x
    x = 37,298,538,698.20/218,941.92
  6. Step 6: Final answer
    x = 170,358.14

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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.