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Finding the Fourth Proportional to 165,403.96, 228,294.72 and 100,895.05

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Solution

The fourth proportional to 165,403.96, 228,294.72 and 100,895.05 is: 139,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,403.96 : 228,294.72 = 100,895.05 : x
  2. Step 2: Convert to fraction form
    165,403.96/228,294.72 = 100,895.05/x
  3. Step 3: Cross multiply
    165,403.96x = 228,294.72 × 100,895.05
  4. Step 4: Simplify right side
    165,403.96x = 23,033,807,474.50
  5. Step 5: Solve for x
    x = 23,033,807,474.50/165,403.96
  6. Step 6: Final answer
    x = 139,257.90

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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.