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Finding the Fourth Proportional to 165,819, 228,831.84 and 90,369.12

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Solution

The fourth proportional to 165,819, 228,831.84 and 90,369.12 is: 124,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,819 : 228,831.84 = 90,369.12 : x
  2. Step 2: Convert to fraction form
    165,819/228,831.84 = 90,369.12/x
  3. Step 3: Cross multiply
    165,819x = 228,831.84 × 90,369.12
  4. Step 4: Simplify right side
    165,819x = 20,679,332,008.78
  5. Step 5: Solve for x
    x = 20,679,332,008.78/165,819
  6. Step 6: Final answer
    x = 124,710.27

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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.