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Finding the Fourth Proportional to 165,999, 229,079.35 and 90,549.12

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Solution

The fourth proportional to 165,999, 229,079.35 and 90,549.12 is: 124,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,999 : 229,079.35 = 90,549.12 : x
  2. Step 2: Convert to fraction form
    165,999/229,079.35 = 90,549.12/x
  3. Step 3: Cross multiply
    165,999x = 229,079.35 × 90,549.12
  4. Step 4: Simplify right side
    165,999x = 20,742,933,552.67
  5. Step 5: Solve for x
    x = 20,742,933,552.67/165,999
  6. Step 6: Final answer
    x = 124,958.18

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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.