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Finding the Fourth Proportional to 200,720.43, 277,006.64 and 111,296.43

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Solution

The fourth proportional to 200,720.43, 277,006.64 and 111,296.43 is: 153,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720.43 : 277,006.64 = 111,296.43 : x
  2. Step 2: Convert to fraction form
    200,720.43/277,006.64 = 111,296.43/x
  3. Step 3: Cross multiply
    200,720.43x = 277,006.64 × 111,296.43
  4. Step 4: Simplify right side
    200,720.43x = 30,829,849,561.81
  5. Step 5: Solve for x
    x = 30,829,849,561.81/200,720.43
  6. Step 6: Final answer
    x = 153,595.97

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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.