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Finding the Fourth Proportional to 165,281.59, 228,087.51 and 89,830.09

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Solution

The fourth proportional to 165,281.59, 228,087.51 and 89,830.09 is: 123,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,281.59 : 228,087.51 = 89,830.09 : x
  2. Step 2: Convert to fraction form
    165,281.59/228,087.51 = 89,830.09/x
  3. Step 3: Cross multiply
    165,281.59x = 228,087.51 × 89,830.09
  4. Step 4: Simplify right side
    165,281.59x = 20,489,121,551.18
  5. Step 5: Solve for x
    x = 20,489,121,551.18/165,281.59
  6. Step 6: Final answer
    x = 123,964.93

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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.