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Finding the Fourth Proportional to 200,779.82, 277,126.56 and 136,358.08

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Solution

The fourth proportional to 200,779.82, 277,126.56 and 136,358.08 is: 188,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,779.82 : 277,126.56 = 136,358.08 : x
  2. Step 2: Convert to fraction form
    200,779.82/277,126.56 = 136,358.08/x
  3. Step 3: Cross multiply
    200,779.82x = 277,126.56 × 136,358.08
  4. Step 4: Simplify right side
    200,779.82x = 37,788,445,638.60
  5. Step 5: Solve for x
    x = 37,788,445,638.60/200,779.82
  6. Step 6: Final answer
    x = 188,208.38

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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.