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Finding the Fourth Proportional to 165,820.80, 228,831.84 and 90,368.64

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Solution

The fourth proportional to 165,820.80, 228,831.84 and 90,368.64 is: 124,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,820.80 : 228,831.84 = 90,368.64 : x
  2. Step 2: Convert to fraction form
    165,820.80/228,831.84 = 90,368.64/x
  3. Step 3: Cross multiply
    165,820.80x = 228,831.84 × 90,368.64
  4. Step 4: Simplify right side
    165,820.80x = 20,679,222,169.50
  5. Step 5: Solve for x
    x = 20,679,222,169.50/165,820.80
  6. Step 6: Final answer
    x = 124,708.25

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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.