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Finding the Fourth Proportional to 165,457.68, 228,331.80 and 90,006

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Solution

The fourth proportional to 165,457.68, 228,331.80 and 90,006 is: 124,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,457.68 : 228,331.80 = 90,006 : x
  2. Step 2: Convert to fraction form
    165,457.68/228,331.80 = 90,006/x
  3. Step 3: Cross multiply
    165,457.68x = 228,331.80 × 90,006
  4. Step 4: Simplify right side
    165,457.68x = 20,551,231,990.80
  5. Step 5: Solve for x
    x = 20,551,231,990.80/165,457.68
  6. Step 6: Final answer
    x = 124,208.39

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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.