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Finding the Fourth Proportional to 165,071.98, 228,013.01 and 136,507.02

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Solution

The fourth proportional to 165,071.98, 228,013.01 and 136,507.02 is: 188,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,071.98 : 228,013.01 = 136,507.02 : x
  2. Step 2: Convert to fraction form
    165,071.98/228,013.01 = 136,507.02/x
  3. Step 3: Cross multiply
    165,071.98x = 228,013.01 × 136,507.02
  4. Step 4: Simplify right side
    165,071.98x = 31,125,376,857.60
  5. Step 5: Solve for x
    x = 31,125,376,857.60/165,071.98
  6. Step 6: Final answer
    x = 188,556.39

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1.5x scale

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.