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Finding the Fourth Proportional to 165,451.68, 228,323.52 and 90,000

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Solution

The fourth proportional to 165,451.68, 228,323.52 and 90,000 is: 124,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,451.68 : 228,323.52 = 90,000 : x
  2. Step 2: Convert to fraction form
    165,451.68/228,323.52 = 90,000/x
  3. Step 3: Cross multiply
    165,451.68x = 228,323.52 × 90,000
  4. Step 4: Simplify right side
    165,451.68x = 20,549,116,800
  5. Step 5: Solve for x
    x = 20,549,116,800/165,451.68
  6. Step 6: Final answer
    x = 124,200.11

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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.