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Finding the Fourth Proportional to 165,497, 228,390.72 and 90,050.36

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Solution

The fourth proportional to 165,497, 228,390.72 and 90,050.36 is: 124,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,497 : 228,390.72 = 90,050.36 : x
  2. Step 2: Convert to fraction form
    165,497/228,390.72 = 90,050.36/x
  3. Step 3: Cross multiply
    165,497x = 228,390.72 × 90,050.36
  4. Step 4: Simplify right side
    165,497x = 20,566,666,556.66
  5. Step 5: Solve for x
    x = 20,566,666,556.66/165,497
  6. Step 6: Final answer
    x = 124,272.14

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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.